Results 11 to 20 of about 94 (43)
Transitivity of the εm-relation on (m-idempotent) hyperrings
Open Mathematics, 2018 On a general hyperring, there is a fundamental relation, denoted γ*, such that the quotient set is a classical ring. In a previous paper, the authors defined the relation εm on general hyperrings, proving that its transitive closure εm∗$\begin{array}{} \
Norouzi Morteza, Cristea Irina
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Fundamental relation on m-idempotent hyperrings
Open Mathematics, 2017 The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called εm∗$\varepsilon^{*}_{m}
Norouzi Morteza, Cristea Irina
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Rough semigroups and rough fuzzy semigroups based on fuzzy ideals
Open Mathematics, 2016 In this paper, we firstly introduce a special congruence relation U(μ, t) induced by a fuzzy ideal μ in a semigroup S. Then we define the lower and upper approximations based on a fuzzy ideal in semigroups. We can establish rough semigroups, rough ideals,
Wang Qiumei, Zhan Jianming
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Construction of composition (m, n, k)-hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, our aim is to introduce the notion of a composition (m, n, k)-hyperring and to analyze its properties. We also consider the algebraic structure of (m, n, k) hyperrings which is a generalization of composition rings and composition ...
Davvaz B. +2 more
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A STUDY ON STRUCTURE OF PO-TERNARY SEMIRINGS [PDF]
, 2015 This paper is divided into two sections. In section 1, the notion of a PO-ternary semiring was introduced and examples are given. Further the terms commutative PO-ternary semiring , quasi commutative PO-ternary semiring, normal PO-ternary semiring,
Madhusudhanarao, Dasari +2 more
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Operations on hyperideals in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize
Omidi S., Davvaz B., Corsini P.
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An introduction to the theory of algebraic multi-hyperring spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics.
Hila Kostaq, Davvaz Bijan
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Interval valued intuitionistic $(S,T)$-fuzzy $H_v$-submodules
, 2006 On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by K.Atanassov, the notion of interval valued intuitionistic fuzzy $H_v$-submodules of an $H_v$-module with respect to $t$-norm $T$ and $s$-norm $S$ is given and the ...
Atanassov +9 more
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Interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras
, 2008 We introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we introduce the notions of interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras and investigate some of ...
A Di Nola +37 more
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The algebraic structure of left semi-trusses
, 2020 The distributive laws of ring theory are fundamental equalities in algebra. However, recently in the study of the Yang-Baxter equation, many algebraic structures with alternative "distributive" laws were defined.
Colazzo, Ilaria, Van Antwerpen, Arne
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