Results 11 to 20 of about 202 (72)
, 2023 In this paper we will define topological BP-algebras and find some properties of these algebras. Also we show how to connect certain topologies with ideals of BP-algebras. Furthermore, we derived certain standard properties using topological concepts and
N, Kandaraj, V, Abisha
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Discussiones Mathematicae - General Algebra and Applications, 2021 A new algebraic structure was introduced, called an eGE-algebra, which is a generalisation of a GE-algebra and investigated its properties. We explore the definition of filters and the quotient algebra associated with such filters.
Bandaru R.K., Rafi N., Rezaei A.
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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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Interior GE-Filters of GE-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2022 The notions of an interior GE-filter, a weak interior GE-filter and a belligerent interior GE-filter are introduced, and their relations and properties are investigated. Example of a GE-filter which is neither an interior GE-filter nor a weak interior GE-
Song Seok-Zun +3 more
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Radical approach in BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3885-3888, 2004., 2004 We define the notion of radical in BCH‐algebra and investigate the structure of [X; k], a viewpoint of radical in BCH‐algebras.
Eun Hwan Roh
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Spectra and reticulation of semihoops
Open Mathematics, 2022 In this article, we further study the filter theory of semihoops. Moreover, we use the prime (maximal) filters to construct the prime (maximal) spectrum on semihoops, and prove that the prime spectrum is a compact T0{T}_{0} topological space and that the
Tang Yu Jie, Xin Xiao Long, Zhou Xin
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, 2009 In this note, by using the concept of vague sets, the notion of vague \(BCK/BCI\)-algebra is introduced. And the notions of \(\alpha\)-cut and vague-cut are introduced and the relationships between these notions and crisp subalgebras are ...
Arsham Borumand Saeid
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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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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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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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