Results 11 to 20 of about 133 (91)
A GENERALIZATION OF PRIME HYPERIDEALS [PDF]
Journal of Algebraic Systems, 2020 Let $R$ be a multiplicative hyperring. In this paper, we introduce and study the concept of n-absorbing hyperideal which is a generalization of prime hyperideal.
M. Anbarloei
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On d-prime hyperideals of hyperrings [PDF]
Journal of HyperstructuresFor Krasner hyperrings, we study d-prime hyperideals where d is a homo-derivation. Furthermore, we show that every maximal d-hyperideal and d-prime hyperideal is a prime hyperideal of a commutative hyperring.
Maryam Akhoundi, Saber Omidi
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r -Hyperideals and Generalizations of r -Hyperideals in Krasner Hyperrings [PDF]
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r-hyperideals in commutative Krasner hyperrings. Some properties of pr-hyperideals are also studied. The relation between
Kaya, Elif +5 more
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Weakly $S$-prime hyperideals [PDF]
Journal of Mahani Mathematical ResearchThe purpose of this paper is presenting a new expansion class, namely weakly $n$-ary $S$-prime hyperideals in Krasner $(m,n)$-hyperrings. In summary, we give an extension of $n$-ary $S$-prime hyperideals. Some results and examples are
Mahdi Anbarloei
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A study on (i-v) prime fuzzy hyperideal of semihypergroups
Afrika Matematika, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Kar, Kar Sukhendu
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Height of prime hyperideals in Krasner hyperrings
Filomat, 2017 Extending the notion of dimension of a hyperring, we introduce the concept of height of a prime hyperideal of a hyperring, similarly as in ring theory, and we present some basic properties and relations with the dimension notion.
Hashem Bordbar, Irina Cristea
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Rough prime bi-Γ-hyperideals and fuzzy prime bi- Γ-hyperideals of Γ-semihypergroups
Filomat, 2017 Davvaz (2008) introduced the concept of set‐valued homomorphism and T‐rough sets in a group. In this paper, we consider the set‐valued homomorphism T on Γ‐semihypergroup H to interpret the lower and upper approximations. We study the roughness of (m, n) bi‐Γ‐hyperideals and (m, n) quasi‐Γ‐hyperideals in terms of set‐valued homomorphisms, which are ...
Naveed Yaqoob +3 more
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On Prime Hyperfilters (Hyperideals) in ^-Hyperlattices
European Journal of Pure and Applied Mathematics, 2018 In this paper, we introduce the notions of strong †∧ â€-hyperlattices, hyperideals and hyperfilters in strong â€âˆ§â€-hyperlattices. Also, we give equivalence conditions for prime hyperfilters (hyperideal) in strong ∧-hyperlattices ...
Reza Ameri +2 more
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$n-$absorbing $I-$prime hyperideals in multiplicative hyperrings
, 2023 In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$.
Mina, Ali A., Akray, Ismael
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Annals of Communications in Mathematics, 2020 <p>The aim of the present paper is to define and bring together the fundamental definitions such as relative hyperideals, relative bi-hyperideals, relative quasi-hyperideals, relative prime hyperideals, relative weakly prime hyperideals, relative ...
Abul Basar
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