Temat: commutative - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: PC-lattices: A Class of Bounded BCK-algebras
Autorzy:: Shoar, Sadegh Khosravi
Borzooei, Rajab Ali
Moradian, R.
Radfar, Atefe
Powiązania:: https://bibliotekanauki.pl/articles/749890.pdf
Data publikacji:: 2018
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: PC-lattice
BCK-lattice
Involutory BCK-algebras
Bounded commutative BCK-algebras
Opis:: In this paper, we define the notion of PC-lattice, as a generalization of finite positive implicative BCK-algebras with condition (S) and bounded commutative BCK-algebras. We investiate some results for Pc-lattices being a new class of BCK-lattices. Specially, we prove that any Boolean lattice is a PC-lattice and we show that if X is a PC-lattice with condition S, then X is an involutory BCK-algebra if and only if X is a commutative BCK-algebra. Finally, we prove that any PC-lattice with condition (S) is a distributive BCK-algebra.
Źródło:: Bulletin of the Section of Logic; 2018, 47, 1
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals
Autorzy:: Hamidi, Mohammad
Powiązania:: https://bibliotekanauki.pl/articles/43182799.pdf
Data publikacji:: 2023
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: single-valued neutrosophic (hyper)\(BCK\)-subalgebra
quasi commutative diagram
extendable single-valued neutrosophic (hyper)\(BCK\)-ideal
Opis:: This paper introduces the concept of single-valued neutrosophic hyper \(BCK\)-subalgebras as a generalization and alternative of hyper \(BCK\)-algebras and on any given nonempty set constructs at least one single-valued neutrosophic hyper \(BCK\)-subalgebra and one a single-valued neutrosophic hyper \(BCK\)-ideal. In this study level subsets play the main role in the connection between singlevalued neutrosophic hyper \(BCK\)-subalgebras and hyper \(BCK\)-subalgebras and the connection between single-valued neutrosophic hyper \(BCK\)-ideals and hyper \(BCK\)-ideals. The congruence and (strongly) regular equivalence relations are the important tools for connecting hyperstructures and structures, so the major contribution of this study is to apply and introduce a (strongly) regular relation on hyper \(BCK\)-algebras and to investigate their categorical properties (quasi commutative diagram) via single-valued neutrosophic hyper \(BCK\)-ideals. Indeed, by using the single-valued neutrosophic hyper \(BCK\)-ideals, we define a congruence relation on (weak commutative) hyper \(BCK\)-algebras that under some conditions is strongly regular and the quotient of any (single-valued neutrosophic)hyper \(BCK\)-(sub)algebra via this relation is a (single-valued neutrosophic)(hyper \(BCK\)-subalgebra) \(BCK\)-(sub)algebra.
Źródło:: Bulletin of the Section of Logic; 2023, 52, 4; 411-440
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Commutative Energetic Subsets of BCK-Algebras
Autorzy:: Jun, Young Bae
Roh, Eun Hwan
Song, Seok Zun
Powiązania:: https://bibliotekanauki.pl/articles/749982.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: S-energetic subset
I-energetic subset
C-energetic subset
(anti) fuzzy commutative ideal
(anti) permeable I-value
(anti) permeable C-value
Opis:: The notions of a C-energetic subset and (anti) permeable C-value in BCK-algebras are introduced, and related properties are investigated. Conditions for an element t in [0, 1] to be an (anti) permeable C-value are provided. Also conditions for a subset to be a C-energetic subset are discussed. We decompose BCK-algebra by a partition which consists of a C-energetic subset and a commutative ideal.
Źródło:: Bulletin of the Section of Logic; 2016, 45, 1
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

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