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Wyświetlanie 1-15 z 34
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:
The closed Friedman world model with the initial and final singularities as a non-commutative space
Autorzy:
Heller, Michael
Sasin, Wiesław
Powiązania:
https://bibliotekanauki.pl/articles/1342663.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
singularities
Friedman cosmology
non-commutative geometry
Opis:
The most elegant definition of singularities in general relativity as b-boundary points, when applied to the closed Friedman world model, leads to the disastrous situation: both the initial and final singularities form the single point of the b-boundary which is not Hausdorff separated from the rest of space-time. We apply Alain Connes' method of non-commutative geometry, defined in terms of a C*-algebra, to this case. It turns out that both the initial and final singularities can be analysed as representations of the C*-algebra in a Hilbert space. The method does not distinguish points in space-time, but identifies space slices of the closed Friedman model as states of the corresponding C*-algebra.
Źródło:
Banach Center Publications; 1997, 41, 1; 153-161
0137-6934
Pojawia się w:
Banach Center Publications
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:
Post-Quantum Cryptography: generalized ElGamal cipher over GF(2518)
Autorzy:
Hecht, P.
Powiązania:
https://bibliotekanauki.pl/articles/375655.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
post-quantum cryptography
non-commutative cryptography
finite fields
Opis:
Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks by means of for instance Shor's polynomial time algorithm for numerical field problems like integer factorization (IFP) or the discrete logarithm (DLP). Other aspects are the backdoors discovered in deterministic random generators or recent advances in solving some instances of DLP. The use of alternative algebraic structures like non-commutative or non-associative partial groupoids, magmas, monoids, semigroups, quasigroups or groups, are valid choices for these new kinds of protocols. In this paper, we focus in an asymmetric cipher based on a generalized ElGamal non-arbitrated protocol using a non-commutative general linear group. The developed protocol forces a hard subgroup membership search problem into a non-commutative structure. The protocol involves at first a generalized Diffie-Hellman key interchange and further on the private and public parameters are recursively updated each time a new cipher session is launched. Security is based on a hard variation of the Generalized Symmetric Decomposition Problem (GSDP). Working with GF(2518) a 64-bits security is achieved, and if GF(25116) is chosen, the security rises to 127-bits. An appealing feature is that there is no need for big number libraries as all arithmetic if performed in Z251 and therefore the new protocol is particularly useful for computational platforms with very limited capabilities like smartphones or smartcards.
Źródło:
Theoretical and Applied Informatics; 2016, 28, 4; 1-14
1896-5334
Pojawia się w:
Theoretical and Applied Informatics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An extension of Millers version of the de Rham Theorem with any coefficients
Autorzy:
Garvín, Antonio
Lechuga, Luis
Murillo, Aniceto
Muñoz, Vicente
Viruel, Antonio
Powiązania:
https://bibliotekanauki.pl/articles/1341823.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
commutative cochain problem
de Rham theorem
simplicial set
Opis:
In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.
Źródło:
Banach Center Publications; 1998, 45, 1; 169-176
0137-6934
Pojawia się w:
Banach Center Publications
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:
On the shape of n-derivations
Autorzy:
Maciejewski, Maciej
Prószyński, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/962659.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
n-derivations
ideals of commutative rings
higher degree mappings
Opis:
We present some classification results for n-derivations over certain commutative rings.
Źródło:
Commentationes Mathematicae; 2019, 59, 1-2; 19-32
0373-8299
Pojawia się w:
Commentationes Mathematicae
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:
A first Catalgorithm?
Autorzy:
Geneste, J.-F.
Powiązania:
https://bibliotekanauki.pl/articles/226651.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
non commutative rings
zero-knowledge proofs
finite type module
Opis:
We propose building a new PKC in a ring structure, the classification of rings being an open problem. The difficulty of the scheme is based on retrieving the eigenvalues of endomorphism on a finite type module over a non-commutative ring. It is resistant to a chosen cipher text attack. Working in the fraction ring of a non-commutative ring makes our scheme a zero-knowledge proof of knowledge, result indistinguishable, in the Naor-Yung model. Finally, a dramatic improvement in security is obtained through the drawing with uniform probability of the working ring at high frequency.
Źródło:
International Journal of Electronics and Telecommunications; 2018, 64, 2; 185-188
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
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
Wyświetlanie 1-15 z 34

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