Results 11 to 20 of about 754 (158)
Journal of Mathematics, 2021 arXiv admin note: substantial text overlap with arXiv:2109.08414; text overlap with arXiv:2109 ...
Mahdi Anbarloei, Xiaogang Liu
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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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δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 This paper deals with an important class of multialgebras, called Krasner hyperrings. Our purpose is to define the expansion of r-hyperideals and to extend this concept to Ï-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity.
Peng Xu +5 more
doaj +4 more sources
On Hyperideals of Multiplicative Hyperrings
Cumhuriyet Science Journal, 2022 Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
doaj +3 more sources
$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2021 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 prime hyperideals and r-hyperideals is investigated. We show that the image and the inverse image of an r-
Xu, Peng +5 more
openaire +4 more sources
On Rough Hyperideals in Hyperlattices [PDF]
Journal of Applied Mathematics, 2013 We introduce and study rough hyperideals in hyperlattices. First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices. Then, applying the notion of rough sets to hyperlattices, we introduce rough hyperideals in hyperlattices, which are extended notions of hyperideals of hyperlattices.
Pengfei He, Xiaolong Xin, Jianming Zhan
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On 1-Absorbing Prime Hyperideal and Some of Its Generalizations [PDF]
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce the concept of 1‐absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided. For example, it is proved that if a strong C‐hyperideal I of R is 1‐absorbing prime that is not prime, then R is a local multiplicative hyperring.
Mahdi Anbarloei
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On Fuzzy Ordered Hyperideals in Ordered Semihyperrings
Advances in Fuzzy Systems, 2019 In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We
O. Kazancı, Ş. Yılmaz, B. Davvaz
doaj +3 more sources
Filomat, 2016 In this paper we study fuzzy hyperideals of a fuzzy hyperring, we define and analyze two particular kinds of fuzzy hyperideals, which extend similar notions of ring context, namely prime fuzzy hyperideals and maximal fuzzy hyperideals. Moreover, we study the hyperideal transfer through a fuzzy hyperring homomorphism, particularly for prime ...
Maedeh Motameni +2 more
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Multipolar Fuzzy Hyperideals in Ordered Semihypergroups [PDF]
Afrika Matematika, 2022 This paper deals with a class of algebraic hyperstructures called ternary semihypergroups, which are a generalization of ternary semigroups. Our main purpose of this paper is to introduce and study the notions of quasi-hyperideal and bi-hyperideal in ternary semihypergroups. The structure of ternary semihypergroups through the quasi- and bi-hyperideals
O. Kazancı +2 more
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