Results 41 to 50 of about 133 (91)
Hyperideal theory in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
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J-prime hyperideals and their generalizations
, 2021 Let R be a multiplicative hyperring with identity. In this paper, we define the concept of J-prime hyperideals which is a generalization of n-hyperideals and we will show some properties of them. Then we extend the notion of J-prime to quasi J-prime and 2-absorbing J-prime hyperideals. Various characterizations of them are provided.
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Associate, Hyperdomainlike, and Presimplifiable Hyperrings
Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 Based on the works of Axtell et al., Anderson et al., and Ghanem on associate, domainlike, and presimplifiable rings, we introduce new hyperrings called associate, hyperdomainlike, and presimplifiable hyperrings. Some elementary properties of these new hyperrings and their relationships are presented.
Agboola Adesina Abdul Akeem +2 more
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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
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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
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On Hyperideals in Left Almost Semihypergroups
International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011 This paper deals with a class of algebraic hyperstructures called left almost semihypergroups (LA‐semihypergroups), which are a generalization of LA‐semigroups and semihypergroups. We introduce the notion of LA‐semihypergroup, the related notions of hyperideal, bi‐hyperideal, and some properties of them are investigated.
Kostaq Hila +3 more
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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.
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On Prime and Primary Hyperideals of a Multiplicative Hyperring
Annals of the Alexandru Ioan Cuza University - Mathematics, 2012 Summary: Procesi and Rota introduced and studied in brief the prime hyperideals of multiplicative hyperrings. Here we intend to investigate extensively the prime and primary hyperideals of multiplicative hyperrings with absorbing zero. Defining the radical of a hyperideal \(I\) of a multiplicative hyperring with absorbing zero, as the intersection of ...
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A novel approach to study ternary semihypergroups in terms of prime soft hyperideals
AIMS Mathematics, 2023 <abstract> <p>In this paper, we give the generalized form of soft semihypergroups in ternary structure and have studied it with the help of examples. There are some structures that are not appropriately handled by using the binary operation of the semihypergroup, such as all the sets of non-positive numbers are not closed under binary ...
Shahida Bashir +3 more
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On S-2-Prime Hyperideals of Commutative Hyperrings
MathematicsThis paper introduces the notion of S-2-prime hyperideals, providing a unifying generalization of 2-prime and S-prime hyperideals in multiplicative hyperrings.
Elif Tüysüz +3 more
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