جستجوی مقالات مرتبط با کلیدواژه « bci-algebra » در نشریات گروه « ریاضی »
تکرار جستجوی کلیدواژه «bci-algebra» در نشریات گروه «علوم پایه»-
Journal of Algebraic Hyperstructures and Logical Algebras, Volume:4 Issue: 1, Winter 2023, PP 27 -46In this paper, by considering the notion of L-algebra, we show that there are relations between L-algebras and some of other logical algebras such as residuated lattices, MTL-algebras, BL-algebras, MV-algebras, BCK-algebras, equality algebras, EQ-algebras and Hilbert algebras. The aim of this paper is to find under what conditions L-algebras are equivalent to these logical algebras.Keywords: L-algebra, Hoop, BCK, BCI-algebra, residuated lattice, MTL-algebra, BL-algebra, MV-algebra}
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Journal of Algebraic Hyperstructures and Logical Algebras, Volume:3 Issue: 4, Autumn 2022, PP 65 -73Murali and Makamba (2001) introduced an equivalence of fuzzy subgroups. Dudek and Jun (2004) studied the equivalence defined by Murali and Makamba in fuzzy ideals of a BCI-algebra. In this paper, we obtained a sequence of fuzzy ideals of a BCI-algebra X from a fuzzy ideal on X. We will show that, if two fuzzy ideals are equivalent, then the sequence of fuzzy ideals obtained from them are equivalent. We show that there is a relationship between a fuzzy ideal with BCI-algebra X and a fuzzy ideal with adjoint BCI-algebra A, where A is an Abelian subgroup of Autµ(X).Keywords: Fuzzy ideal, fuzzy p-ideal, BCI-algebra, equivalent, automorphism}
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Journal of Algebraic Hyperstructures and Logical Algebras, Volume:2 Issue: 1, Winter 2021, PP 47 -67
In this paper, we introduce the notion of hyper BI-algebra and investigate some properties of it. Also, we state and prove some theorems which determine the relationship among $R/ C/ D/ T$ and V-hyper BI-algebras under some conditions. Then we study the relation among hyper BI-algebra with some of other hyper logical algebras such as hyper BCI/BCK/K/B/BCC-algebras and show that under which condition these hyper structures coincide. In addition, we define hyper subalgebra and (weak) ideal of a hyper BI-algebra and obtain some results and the relation between them. Finally, we construct the quotient structure of hyper BI-algebra and examine the isomorphism theorems.
Keywords: BI-algebra, hyper BI-algebra, hyper K-algebra, hyper BCK, BCI-algebra} -
Journal of Algebraic Structures and Their Applications, Volume:7 Issue: 2, winter-spring 2020, PP 63 -77The notion of a neutrosophic quadruple BCI-commutative ideal in a neutrosophic quadruple BCI-algebra is introduced, and several properties are investigated. Relations between a neutrosophic quadruple ideal and a neutrosophic quadruple BCI-commutative ideal are discussed, and conditions for the neutrosophic quadruple ideal to be a neutrosophic quadruple BCI-commutative ideal are given. Conditions for the neutrosophic quadruple set to be a neutrosophic quadruple BCI-commutative ideal are provided, and the extension property of a neutrosophic quadruple BCI-commutative ideal is considered.Keywords: Neutrosophic quadruple BCK, BCI-number, neutrosophic quadruple BCK, BCI-algebra, neutrosophic quadruple (closed) ideal, neutrosophic quadruple BCI-commutative ideal}
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