Results 11 to 20 of about 46 (46)
Fuzzy multiply positive implicative hyper BCK‐ideals of hyper BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 24, Page 1239-1253, 2004., 2004 We consider the fuzzification of the notion of fuzzy multiply positive implicative hyper BCK‐ideals of BCK‐algebras and then some related results are obtained. Using the concept of level subsets, we give a characterization of a fuzzy multiply positive implicative hyper BCK‐ideal.
Jianming Zhan, Dajing Xiang, Zhisong Tan
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 49, Page 2629-2639, 2004., 2004 We consider some fundamental properties of QS‐algebras and show that (1) the theory of QS‐algebras is logically equivalent to the theory of Abelian groups, that is, each theorem of QS‐algebras is provable in the theory of Abelian groups, and conversely, each theorem of Abelian groups is provable in the theory of QS‐algebras; and (2) a G‐part G(X) of a ...
Michiro Kondo
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we introduce a new algebra, called a BI-algebra, which is a generalization of a (dual) implication algebra and we discuss the basic properties of BI-algebras, and investigate ideals and congruence relations.
Saeid Arsham Borumand +2 more
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Maximal Bp -Subalgebras of B-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2020 We provide some properties of maximal Bp-subalgebras of B-algebras. In particular, we show that for each prime p, a finite B-algebra has a maximal Bp-subalgebra.
Bantug Jenette, Endam Joemar
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Some categorical aspects of BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1739-1750, 2003., 2003 We show that the category BCH of BCH‐algebras and BCH‐homomorphisms is complete. We also show that it has coequalizers, kernel pairs, and an image factorization system. It is also proved that onto homomorphisms and coequalizers, and monomorphisms and one‐to‐one homomorphisms coincide, respectively, in BCH.
Muhammad Anwar Chaudhry +1 more
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Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals in BCI-algebras are introduced, and several related properties are investigated.
Senapati Tapan +3 more
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Fuzzy structures of PI(≪,⫅,⫅)BCK‐ideals in hyper BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 549-556, 2003., 2003 The fuzzification of PI(≪,⫅,⫅)BCK‐ideals is considered. Using the notion of α‐cut, characterization of fuzzy PI(≪, ⫅, ⫅) BCK‐ideals is given. Conditions for a fuzzy set to be a fuzzy PI(≪, ⫅, ⫅) BCK‐ideal are provided.
Young Bae Jun, Wook Hwan Shim
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MBJ-neutrosophic ideals of BCK/BCI-algebras
Open Mathematics, 2019 The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal are provided.
Jun Young Bae, Roh Eun Hwan
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Soft Set Theory Applied to Hoops
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper, we introduced the concept of a soft hoop and we investigated some of their properties. Then, we established different types of intersections and unions of the family of soft hoops.
Borzooei R. A. +4 more
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T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 42, Page 2653-2665, 2003., 2003 The concept of fuzzy multiply positive BCC‐ideals of BCC‐algebras is introduced, and then some related results are obtained. Moreover, we introduce the concept of T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras and investigate T‐product of T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras, examining its properties. Using
Jianming Zhan, Zhisong Tan
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