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Wyświetlanie 1-12 z 12
Tytuł:
Fixed point and homotopy result for mappings satisfying an implicit relation
Autorzy:
Altun, I.
Turkoglu, D.
Powiązania:
https://bibliotekanauki.pl/articles/729428.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
fixed point
implicit relation
homotopy result
Opis:
In this paper, we prove some fixed point theorems for single valued mappings satisfying an implicit relation on space with two metrics. In addition we give a homotopy result using our theorems.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 349-363
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The semantical hyperunification problem
Autorzy:
Denecke, Klaus
Koppitz, Jörg
Wismath, Shelly
Powiązania:
https://bibliotekanauki.pl/articles/728730.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
hypersubstitution
fully invariant congruence relation
hyperunification problem
Opis:
A hypersubstitution of a fixed type τ maps n-ary operation symbols of the type to n-ary terms of the type. Such a mapping induces a unique mapping defined on the set of all terms of type t. The kernel of this induced mapping is called the kernel of the hypersubstitution, and it is a fully invariant congruence relation on the (absolutely free) term algebra $F_{τ}(X)$ of the considered type ([2]). If V is a variety of type τ, we consider the composition of the natural homomorphism with the mapping induced by a hypersubstitution. The kernel of this mapping is called the semantical kernel of the hypersubstitution with respect to the given variety. If the pair (s,t) of terms belongs to the semantical kernel of a hypersubstitution, then this hypersubstitution equalizes s and t with respect to the variety. Generalizing the concept of a unifier, we define a semantical hyperunifier for a pair of terms with respect to a variety. The problem of finding a semantical hyperunifier with respect to a given variety for any two terms is then called the semantical hyperunification problem.
We prove that the semantical kernel of a hypersubstitution is a fully invariant congruence relation on the absolutely free algebra of the given type. Using this kernel, we define three relations between sets of hypersubstitutions and sets of varieties and introduce the Galois correspondences induced by these relations. Then we apply these general concepts to varieties of semigroups.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 175-200
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Clausal relations and C-clones
Autorzy:
Vargas, Edith
Powiązania:
https://bibliotekanauki.pl/articles/729057.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
clone
Galois connection
clausal relation
C-clone
Opis:
We introduce a special set of relations called clausal relations. We study a Galois connection Pol-CInv between the set of all finitary operations on a finite set D and the set of clausal relations, which is a restricted version of the Galois connection Pol-Inv. We define C-clones as the Galois closed sets of operations with respect to Pol-CInv and describe the lattice of all C-clones for the Boolean case D = {0,1}. Finally we prove certain results about C-clones over a larger set.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2010, 30, 2; 147-171
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Słupecki criterion by duality
Autorzy:
Horváth, Eszter
Powiązania:
https://bibliotekanauki.pl/articles/728802.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
primal algebra
diagonal relation
Galois connection
Słupecki Criterion
Opis:
A method is presented for proving primality and functional completeness theorems, which makes use of the operation-relation duality. By the result of Sierpiński, we have to investigate relations generated by the two-element subsets of $A^{k}$ only. We show how the method applies for proving Słupecki's classical theorem by generating diagonal relations from each pair of k-tuples.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 1; 5-11
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Aggregating Fuzzy Binary Relations and Fuzzy Filters
Autorzy:
Amroune, Abdelaziz
Aissa, Bouad
Powiązania:
https://bibliotekanauki.pl/articles/52762968.pdf
Data publikacji:
2018-12-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
aggregation
fuzzy relation
fuzzy lattices
fuzzy filter
trace
Opis:
The main goal of this paper is to investigate the aggregation of diverse families of binary fuzzy relations, fuzzy filters, and fuzzy lattices. Some links between these families and their images via an aggregation are explored.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2018, 38, 2; 273-296
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semigroups derived from (Γ,n)-semihypergroups and T-functor
Autorzy:
Ostadhadi-Dehkordi, S.
Powiązania:
https://bibliotekanauki.pl/articles/729159.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
(Γ,n)-semihypergroup
Θ-relation
T-fuctor
fundamental semigroup
Opis:
The main purpose of this paper is to introduce the concept of (Γ,n)-semihypergroups as a generalization of hypergroups, as a generalization of n-ary hypergroups and obtain an exact covariant functor between the category (Γ,n)-semihypergrous and the category semigroups. Moreover, we introduce and study complete part. Finally, we obtain some new results and some fundamental theorems in this respect.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2015, 35, 1; 79-95
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some properties of congurence relations on orthomodular lattices
Autorzy:
Dorfer, Gerhard
Powiązania:
https://bibliotekanauki.pl/articles/728766.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
orthomodular lattice
congruence relation
congruence-regular
congruence-uniform
congruence-permutable
Opis:
In this paper congruences on orthomodular lattices are studied with particular regard to analogies in Boolean algebras. For this reason the lattice of p-ideals (corresponding to the congruence lattice) and the interplay between congruence classes is investigated. From the results adduced there, congruence regularity, uniformity and permutability for orthomodular lattices can be derived easily.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 1; 57-66
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the structure of halfdiagonal-halfterminal-symmetric categories with diagonal inversions
Autorzy:
Vogel, Hans-Jürgen
Powiązania:
https://bibliotekanauki.pl/articles/728750.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
halfdiagonal-halfterminal-symmetric category
diagonal inversion
partial order relation
subidentity
equation
Opis:
The category of all binary relations between arbitrary sets turns out to be a certain symmetric monoidal category Rel with an additional structure characterized by a family $d = (d_{A}: A → A⨂ A | A ∈ |Rel|)$ of diagonal morphisms, a family $t = (t_{A}: A → I | A ∈ |Rel|)$ of terminal morphisms, and a family $∇ = (∇_{A}: A ⨂ A → A | A ∈ |Rel|)$ of diagonal inversions having certain properties. Using this properties in [11] was given a system of axioms which characterizes the abstract concept of a halfdiagonal-halfterminal-symmetric monoidal category with diagonal inversions (hdht∇s-category). Besides of certain identities this system of axioms contains two identical implications. In this paper is shown that there is an equivalent characterizing system of axioms for hdht∇s-categories consisting of identities only. Therefore, the class of all small hdht∇-symmetric categories (interpreted as hetrogeneous algebras of a certain type) forms a variety and hence there are free theories for relational structures.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 139-163
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Weak-hyperlattices derived from fuzzy congruences
Autorzy:
Koguep, Blériot Blaise Njionou
Lele, Celestin
Powiązania:
https://bibliotekanauki.pl/articles/38118121.pdf
Data publikacji:
2017-06-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
hyperlattice
ideal
prime ideal
fuzzy ideal
fuzzy prime ideal
fuzzy congruence relation
Opis:
In this paper we explore the connections between fuzzy congruence relations, fuzzy ideals and homomorphisms of hyperlattices. Indeed, we introduce the concept of fuzzy quotient set of hyperlattices as it was done in the case of rings [19]. We prove that a fuzzy congruence induces a fuzzy ideal of the fuzzy quotient hyperlattice. In particular, we establish necessary and sufficient conditions for a zero-fuzzy congruence class to be a fuzzy ideal of a hyperlattice.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2017, 37, 1; 75-91
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Distributive lattices with a given skeleton
Autorzy:
Grygiel, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/728922.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
distributive lattice
skeleton
gluing
tolerance relation
skeleton torelance
K-atlas
H-irreducibility
Opis:
We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 75-94
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On balanced order relations and the normal hull of completely simple semirings
Autorzy:
Maity, Sunil
Powiązania:
https://bibliotekanauki.pl/articles/729213.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
skew-ring
Rees matrix semiring
balanced order relation
essential extension
normal extension
normal ideal
normal hull
Opis:
In [1] the authors proved that a semiring S is a completely simple semiring if and only if S is isomorphic to a Rees matrix semiring over a skew-ring R with sandwich matrix P and index sets I and Λ which are bands under multiplication. In this paper we characterize all the balanced order relations on completely simple semirings. Also we study the normal hull of a completely simple semiring.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 1; 75-84
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
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 1-12 z 12

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