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    Wyświetlanie 1-15 z 15
    Tytuł:
    Infinite independent systems of identities of alternative commutative algebra over a field of characteristic three
    Autorzy:
    Sandu, Nicolae
    Powiązania:
    https://bibliotekanauki.pl/articles/728912.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    nfinite independent system of identities
    alternative commutative algebra
    solvable algebra
    commutative Moufang loop
    Opis:
    Let ₃ denote the variety of alternative commutative (Jordan) algebras defined by the identity x³ = 0, and let ₂ be the subvariety of the variety ₃ of solvable algebras of solviability index 2. We present an infinite independent system of identities in the variety ₃ ∩ ₂₂. Therefore we infer that ₃ ∩ ₂₂ contains a continuum of infinite based subvarieties and that there exist algebras with an unsolvable words problem in ₃ ∩ ₂₂.
    It is worth mentioning that these results were announced in 1999 in works of the international conference "Loops’99" (Prague).
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 5-30
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Foldness of Commutative Ideals in BCK-algebras
    Autorzy:
    Lele, Celestin
    Moutari, Salissou
    Powiązania:
    https://bibliotekanauki.pl/articles/729177.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    BCK-algebra
    fuzzy point
    n-fold commutative ideals
    n-fold weak commutative ideals
    Opis:
    This paper deals with some properties of n-fold commutative ideals and n-fold weak commutative ideals in BCK-algebras. Afterwards, we construct some algorithms for studying foldness theory of commutative ideals in BCK-algebras.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2006, 26, 1; 111-135
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Algebraic structureof step nesting designs
    Autorzy:
    Fernandes, Célia
    Ramos, Paulo
    Mexia, João
    Powiązania:
    https://bibliotekanauki.pl/articles/729913.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    commutative Jordan algebras
    cartesian product of commutative Jordan algebras
    step nesting
    variance components
    UMVUE
    Opis:
    Step nesting designs may be very useful since they require fewer observations than the usual balanced nesting models. The number of treatments in balanced nesting design is the product of the number of levels in each factor. This number may be too large. As an alternative, in step nesting designs the number of treatments is the sum of the factor levels. Thus these models lead to a great economy and it is easy to carry out inference. To study the algebraic structure of step nesting designs we introduce the cartesian product of commutative Jordan algebras.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2010, 30, 2; 221-235
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Canonic inference and commutative orthogonal block structure
    Autorzy:
    Carvalho, Francisco
    Mexia, João
    Oliveira, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/729946.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    COBS
    canonical inference
    commutative Jordan algebras
    Opis:
    It is shown how to define the canonic formulation for orthogonal models associated to commutative Jordan algebras. This canonic formulation is then used to carry out inference. The case of models with commutative orthogonal block structures is stressed out.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2008, 28, 2; 171-181
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Superior subalgebras and ideals of BCK/BCI-algebras
    Autorzy:
    Jun, Young
    Song, Seok
    Powiązania:
    https://bibliotekanauki.pl/articles/728862.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    superior mapping
    superior subalgebra
    (commutative) superior ideal
    Opis:
    The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2016, 36, 1; 85-99
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Pre-strongly solid varieties of commutative semigroups
    Autorzy:
    Phuapong, Sarawut
    Leeratanavalee, Sorasak
    Powiązania:
    https://bibliotekanauki.pl/articles/728995.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    generalized hypersubstitution
    pre-strongly solid variety
    commutative semigroup
    Opis:
    Generalized hypersubstitutions are mappings from the set of all fundamental operations into the set of all terms of the same language do not necessarily preserve the arities. Strong hyperidentities are identities which are closed under the generalized hypersubstitutions and a strongly solid variety is a variety which every its identity is a strong hyperidentity. In this paper we give an example of pre-strongly solid varieties of commutative semigroups and determine the least and the greatest pre-strongly solid variety of commutative semigroups.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2011, 31, 1; 27-45
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    ANOVA using commutative Jordan algebras, an application
    Autorzy:
    Rodrigues, Paulo
    Mexia, João
    Powiązania:
    https://bibliotekanauki.pl/articles/729984.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    commutative Jordan algebras
    variance components
    orthogonal models
    ANOVA
    Opis:
    Binary operations on commutative Jordan algebras are used to carry out the ANOVA of a two layer model. The treatments in the first layer nests those in the second layer, that being a sub-model for each treatment in the first layer. We present an application with data retried from agricultural experiments.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2006, 26, 2; 179-191
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Joint estimation for normal orthogonal mixed models
    Autorzy:
    de Jesus, Vera
    Ferreira, Sandra
    Mexia, João
    Powiązania:
    https://bibliotekanauki.pl/articles/730008.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    normal orthogonal mixed models
    commutative Jordan algebras
    meta-analysis
    Opis:
    Commutative Jordan algebras are used to express the structure of mixed orthogonal models and to derive complete sufficient statistics. From these statistics, UMVUE, (Uniformly Minimum Variance Unbiased Estimators), are derived for the relevant parameters, first of single models then of several such models. These models may correspond to experiments designed separately so our results may be seen as a contribution to this meta-analysis.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2007, 27, 1-2; 5-13
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Linear model genealogical tree application to an odontology experiment
    Autorzy:
    Covas, Ricardo
    Powiązania:
    https://bibliotekanauki.pl/articles/729994.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    commutative Jordan algebra
    binary operations
    Kronecker matrix product
    lattice
    projectors
    Opis:
    Commutative Jordan algebras play a central part in orthogonal models. We apply the concepts of genealogical tree of an Jordan algebra associated to a linear mixed model in an experiment conducted to study optimal choosing of dentist materials. Apart from the conclusions of the experiment itself, we show how to proceed in order to take advantage of the great possibilities that Jordan algebras and mixed linear models give to practitioners.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2007, 27, 1-2; 47-77
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sublattices corresponding to very true operators in commutative basic algebras
    Autorzy:
    Chajda, Ivan
    Švrček, Filip
    Powiązania:
    https://bibliotekanauki.pl/articles/729185.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    commutative basic algebra
    very true operator
    idempotent operator
    relatively complete sublattice
    Opis:
    We introduce the concept of very true operator on a commutative basic algebra in a way analogous to that for fuzzy logics. We are motivated by the fact that commutative basic algebras form an algebraic axiomatization of certain non-associative fuzzy logics. We prove that every such operator is fully determined by a certain relatively complete sublattice provided its idempotency is assumed.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 2; 183-189
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Commutative directoids with sectional involutions
    Autorzy:
    Chajda, Ivan
    Powiązania:
    https://bibliotekanauki.pl/articles/729147.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    commutative directoid
    sectional involution
    sectional complement
    d-implication algebra
    NMV-algebra
    Opis:
    The concept of a commutative directoid was introduced by J. Ježek and R. Quackenbush in 1990. We complete this algebra with involutions in its sections and show that it can be converted into a certain implication algebra. Asking several additional conditions, we show whether this directoid is sectionally complemented or whether the section is an NMV-algebra.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2007, 27, 1; 49-58
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Inference for random effects in prime basis factorials using commutative Jordan algebras
    Autorzy:
    Jesus, Vera
    Rodrigues, Paulo
    Mexia, João
    Powiązania:
    https://bibliotekanauki.pl/articles/730010.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    prime basis factorial
    commutative Jordan algebras
    complete sufficient statistics
    UMVUE
    confidence regions
    Opis:
    Commutative Jordan algebras are used to drive an highly tractable framework for balanced factorial designs with a prime number p of levels for their factors. Both fixed effects and random effects models are treated. Sufficient complete statistics are obtained and used to derive UMVUE for the relevant parameters. Confidence regions are obtained and it is shown how to use duality for hypothesis testing.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2007, 27, 1-2; 15-25
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Algebraic structure for the crossing of balanced and stair nested designs
    Autorzy:
    Fernandes, Célia
    Ramos, Paulo
    Mexia, João
    Powiązania:
    https://bibliotekanauki.pl/articles/729814.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    balanced nested designs
    stair nested designs
    crossing
    commutative Jordan algebras
    variance components
    inference
    Opis:
    Stair nesting allows us to work with fewer observations than the most usual form of nesting, the balanced nesting. In the case of stair nesting the amount of information for the different factors is more evenly distributed. This new design leads to greater economy, because we can work with fewer observations. In this work we present the algebraic structure of the cross of balanced nested and stair nested designs, using binary operations on commutative Jordan algebras. This new cross requires fewer observations than the usual cross balanced nested designs and it is easy to carry out inference.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2014, 34, 1-2; 71-88
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fourier-like methods for equations with separable variables
    Autorzy:
    Przeworska-Rolewicz, Danuta
    Powiązania:
    https://bibliotekanauki.pl/articles/729392.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    algebraic analysis
    commutative algebra with unit
    Leibniz condition
    logarithmic mapping
    antilogarithmic mapping
    right invertible operator
    sine mapping
    cosine mapping
    initial value problem
    boundary value problem
    Fourier method
    Opis:
    It is well known that a power of a right invertible operator is again right invertible, as well as a polynomial in a right invertible operator under appropriate assumptions. However, a linear combination of right invertible operators (in particular, their sum and/or difference) in general is not right invertible. It will be shown how to solve equations with linear combinations of right invertible operators in commutative algebras using properties of logarithmic and antilogarithmic mappings. The used method is, in a sense, a kind of the variables separation method. We shall obtain also an analogue of the classical Fourier method for partial differential equations. Note that the results concerning the Fourier method are proved under weaker assumptions than these obtained in [6] (cf. also [7, 8, 11]).
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2009, 29, 1; 19-42
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On monadic quantale algebras: basic properties and representation theorems
    Autorzy:
    Solovyov, Sergey
    Powiązania:
    https://bibliotekanauki.pl/articles/729061.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    m-semilattice
    ⋁-lattice
    quantale
    quantale module
    topological system
    tropological system
    quantale algebra
    quantaloid
    quantale algebroid
    quantifier
    monadic quantale algebra
    Girard quantale
    Q-equivalence relation
    Ω-valued set
    GL-monoid
    commutative integral cl-monoid
    Opis:
    Motivated by the concept of quantifier (in the sense of P. Halmos) on different algebraic structures (Boolean algebras, Heyting algebras, MV-algebras, orthomodular lattices, bounded distributive lattices) and the resulting notion of monadic algebra, the paper introduces the concept of a monadic quantale algebra, considers its properties and provides several representation theorems for the new structures.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2010, 30, 1; 91-118
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-15 z 15

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