Results 1 to 10 of about 118 (34)
Radicals of Generalized Prime Ideals in Ternary Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the concepts of f-prime ideals and f-semiprime ideals on a ternary semigroup are considered as a generalization of pseudo prime ideals and pseudo semiprime ideals, respectively.
Satvong Narakon +2 more
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The L-ordered L-semihypergroups
Open Mathematics, 2020 This study pursues an investigation on L-semihypergroups equipped with an L-order. First, the concept of L-ordered L-semihypergroups is introduced by L-posets and L-semihypergroups, and some related results are obtained.
Su Shuhua, Liu Fuyao, Yang Shuqun
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A Note on Soft Ideals and Soft Filters in Ternary Semigroups with Involution
Discussiones Mathematicae - General Algebra and Applications, 2020 The main purpose of this paper is to provide an effective content of theory of ternary semigroups with involution by applying soft set theory concepts. In this paper, we introduce some basic terms and definitions of different ideals in ternary semigroups
Abbasi Mohammad Yahya +2 more
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Some Innovative Types of Fuzzy Ideals in AG-Groupoids
Journal of Intelligent Systems, 2019 AG-groupoids (non-associative structure) are basic structures in Flocks theory. This theory mainly focuses on distance optimization, motion replication, and leadership maintenance with a wide range of applications in physics and biology.
Khan Faiz Muhammad +4 more
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International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 803-811, 1997., 1997 A comultiplication on a monoid S is a homomorphism m : S → S∗S (the free product of S with itself) whose composition with each projection is the identity homomorphism. We investigate how the existence of a comultiplication on S restricts the structure of S.
Martin Arkowitz, Mauricio Gutierrez
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A note on Quasi and Bi‐ideals in Ternary semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 501-508, 1995., 1993 In this paper we have studied the properties of Quasi‐ideals and Bi‐ideals in ternary semi groups. We prove that every quasi‐ideal is a bi‐ideal in T but the converse is not true in general by giving several example in different context.
V. N. Dixit, Sarita Dewan
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On the semi‐sub‐hypergroups of a hypergroup
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 293-304, 1991., 1989 In this paper we study some properties of the semi‐sub‐hypergroups and the closed sub‐hypergroups of the hypergroups. We introduce the correlated elements and the fundamental elements and we connect the concept antipodal of the latter with Frattin′s hypergroup. We also present Helly′s Theorem as a corollary of a more general Theorem.
Ch. G. Massouros
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Augmented, free and tensor generalized digroups
Open Mathematics, 2019 The concept of generalized digroup was proposed by Salazar-Díaz, Velásquez and Wills-Toro in their paper “Generalized digroups” as a non trivial extension of groups.
Rodríguez-Nieto José Gregorio +2 more
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Application of (m, n)-Г-Hyperideals in Characterization of LA-Г-Semihypergroups
Discussiones Mathematicae - General Algebra and Applications, 2019 In this paper, we study the concept of ordered (m, n)-Г-hyperideals in an ordered LA-Г-semihypergroup. We show that if (S, Г, ◦,⩽) is a unitary ordered LA-Г-semihypergroup with zero 0 and satisfies the hypothesis that it contains no non-zero nilpotent (m,
Basar Abul
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(∈γ, ∈γ ∨qδ)-fuzzy right ideals of Intra-Regular Abel Grassmann’s-Groupoids
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper, we introduce (∈γ, ∈γ ∨qδ)-fuzzy right ideals in an AG-groupoid. We characterize intra-regular AG-groupoids using the properties of (∈γ, ∈γ ∨qδ)-fuzzy subsets and (∈γ, ∈γ ∨qδ)-fuzzy right ideals.
Khan Madad +2 more
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