Results 51 to 60 of about 196 (109)
Rough Fuzzy Hyperideals in Ternary Semihypergroups
Advances in Fuzzy Systems, Volume 2012, Issue 1, 2012., 2012 The relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems. This paper concerns a relationship between rough sets and ternary semihypergroups.
Naveed Yaqoob +3 more
wiley +1 more source
On Pure Hyperradical in Semihypergroups
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. For this purpose, we define pure, semipure, and other related types of hyperideals and establish some of their basic properties ...
Kostaq Hila +2 more
wiley +1 more source
Multiplicative hyperring of fractions and coprime hyperideals
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
doaj +1 more source
DIFFERENTIAL MULTIPLICATIVE HYPERRINGS [PDF]
, 2014 There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation.
Bijan Davvaz, L. Kamali Ardekani
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An investigatiozn on Prime and Semiprime fuzzy hyperideals in po-ternary semihypergroups [PDF]
, 2018 The aim of this paper is to apply the concept of fuzzification on prime hyperideals and semiprime hyperideals in po-ternary semihypergroups and look for some of their related characteristics.
Abbasi, M. Y. +2 more
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REPRODUCED PRINCIPAL IDEAL DOMAIN ON GENERAL HYPERRING Zp^nq^m [PDF]
Every classical algebra is a set equipped with binary operations that operate under certain axiom principles. The generalization of classical algebras to hyperalgebras has been created with the aim of generalizing operations to hyperoperations that apply
Daneshpayeh, Roohallah +1 more
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On Rough Hyperideals in Hyperlattices [PDF]
, 2013 We introduce and study rough hyperideals in hyperlattices. First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices.
Jianming Zhan, Pengfei He, Xiaolong Xin
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(weakly) (s,n)-closed hyperideals
, 2023 A multiplicative hyperring is a well-known type of algebraic hyperstructures which extend a ring to a structure in which the addition is an operation but multiplication is a hyperoperation. Let G be a commutative multiplicative hyperring and s,n \in Z^+.
Anbarloei, Mahdi
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Generalizations of Prime Hyperideals via Hypersystems in Krasner Hyperrings
AxiomsThe aim of this study is to investigate generalized prime hyperideals in the framework of Krasner hyperrings. To this end, new classes of hyperideals are introduced and analyzed based on multiplicatively closed properties.
Mehmet Bozdaş, Ummahan Acar
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Orderings and valuations in hyperfields
, 2021 We introduce and study in detail the notion of compatibility between valuations and orderings in real hyperfields. We investigate their relation with valuations and orderings induced on factor and residue hyperfields.
Kuhlmann, Katarzyna +2 more
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