Results 21 to 30 of about 367 (102)
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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Left Zeroid and Right Zeroid Elements of Γ-Semirings
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we introduce the notion of a left zeroid and a right zeroid of Γ -semirings. We prove that, a left zeroid of a simple Γ-semiring M is regular if and only if M is a regular Γ -semiring.
Rao M. Murali Krishna, Kumar K.R.
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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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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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Selected Properties of Some Generalizations of BCK Algebras
Discussiones Mathematicae - General Algebra and Applications, 2020 The notion of a RM algebra, introduced recently, is a generalization of many other algebras of logic. The class of RM algebras contains (weak-)BCC algebras, BCH algebras, BCI algebras, BCK algebras and many others. A RM algebra is an algebra A = (A; →, 1)
Dymek Grzegorz
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On branchwise implicative BCI‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 417-425, 2002., 2002 We introduce a new class of BCI‐algebras, namely the class of branchwise implicative BCI‐algebras. This class contains the class of implicative BCK‐algebras, the class of weakly implicative BCI‐algebras (Chaudhry, 1990), and the class of medial BCI‐algebras.
Muhammad Anwar Chaudhry
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Molecules and linearly ordered ideals of MV-algebras [PDF]
, 1997 We show that an ideal $I$ of an $MV$-algebra $A$ is linearly ordered if and only if every non-zero element of $I$ is a molecule. The set of molecules of $A$ is contained in $\operatorname{Inf}(A)\cup B_2(A)$ where $B_2(A)$ is the set of all elements $x ...
Hoo, C. S.
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International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 1, Page 49-56, 2002., 2002 The aim of this note is to introduce the notion of doubt fuzzy p‐ideals in BCI‐algebras and to study their properties. We also solve the problem of classifying doubt fuzzy p‐ideals and study fuzzy relations on BCI‐algebras.
Zhan Jianming, Tan Zhisong
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Fuzzy implicative hyper BCK‐ideals of hyper BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 2, Page 63-70, 2002., 2002 We consider the fuzzification of the notion of implicative hyper BCK‐ideals, and then investigate several properties. Using the concept of level subsets, we give a characterization of a fuzzy implicative hyper BCK‐ideal. We state a relation between a fuzzy hyper BCK‐ideal and a fuzzy implicative hyper BCK‐ideal.
Young Bae Jun, Wook Hwan Shim
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