Temat: Ideal - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: Representable dually residuated lattice-ordered monoids
Autorzy:: Kühr, Jan
Powiązania:: https://bibliotekanauki.pl/articles/728960.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: DRl-monoid
ideal
prime ideal
polar
normal ideal
representable DRl-monoid
Opis:: Dually residuated lattice-ordered monoids (DRl-monoids) generalize lattice-ordered groups and include also some algebras related to fuzzy logic (e.g. GMV-algebras and pseudo BL-algebras). In the paper, we give some necessary and sufficient conditions for a DRl-monoid to be representable (i.e. a subdirect product of totally ordered DRl-monoids) and we prove that the class of representable DRl-monoids is a variety.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 2; 115-123
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Balanced d-lattices are complemented
Autorzy:: Goldstern, Martin
Ploščica, Miroslav
Powiązania:: https://bibliotekanauki.pl/articles/729051.pdf
Data publikacji:: 2002
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: balanced congruence
balanced lattice
d-lattice
prime ideal
maximal ideal
Opis:: We characterize d-lattices as those bounded lattices in which every maximal filter/ideal is prime, and we show that a d-lattice is complemented iff it is balanced iff all prime filters/ideals are maximal.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2002, 22, 1; 33-37
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Spectra of abelian wekly associative lattice groups
Autorzy:: Rachůnek, Jiří
Powiązania:: https://bibliotekanauki.pl/articles/728852.pdf
Data publikacji:: 2000
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: weakly associative lattice group
prime ideal
straightening ideal
spectral topology
spectrum
Opis:: The notion of a weakly associative lattice group is a generalization of that of a lattice ordered group in which the identities of associativity of the lattice operations join and meet are replaced by the identities of weak associativity. In the paper, the spectral topologies on the sets of straightening ideals (and on some of their subsets) of abelian weakly associative lattice groups are introduced and studied.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 1; 51-61
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: On ternary semifields
Autorzy:: Dutta, Tapan
Kar, Sukhendu
Powiązania:: https://bibliotekanauki.pl/articles/729111.pdf
Data publikacji:: 2004
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: ternary semiring
prime ideal
maximal ideal
ternary semi-integral domain
ternary division semiring
ternary semifield
Opis:: In this paper, we introduce the notion of ternary semi-integral domain and ternary semifield and study some of their properties.In particular we also investigate the maximal ideals of the ternary semiring Z¯₀.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 2; 185-198
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

Tytuł:: Prime ideals in the lattice of additive induced-hereditary graph properties
Autorzy:: Berger, Amelie
Mihók, Peter
Powiązania:: https://bibliotekanauki.pl/articles/743387.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: hereditary graph property
prime ideal
distributive lattice
induced subgraphs
Opis:: An additive induced-hereditary property of graphs is any class of finite simple graphs which is closed under isomorphisms, disjoint unions and induced subgraphs. The set of all additive induced-hereditary properties of graphs, partially ordered by set inclusion, forms a completely distributive lattice. We introduce the notion of the join-decomposability number of a property and then we prove that the prime ideals of the lattice of all additive induced-hereditary properties are divided into two groups, determined either by a set of excluded join-irreducible properties or determined by a set of excluded properties with infinite join-decomposability number. We provide non-trivial examples of each type.
Źródło:: Discussiones Mathematicae Graph Theory; 2003, 23, 1; 117-127
2083-5892
Pojawia się w:: Discussiones Mathematicae Graph Theory
Dostawca treści:: Biblioteka Nauki

Artykuł

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