Results 11 to 20 of about 251 (147)
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 prime hyperideals and r-hyperideals is investigated. We show that the image and the inverse image of an r-
Xu, Peng +6 more
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Characterizations of Hyperrings by Fuzzy Hyperideals with Respect to A t-norm
Fuzzy Information and Engineering, 2017 In this paper, we inquire further into the properties on some kind fuzzy hyperideals and we study the hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals,
Kostaq Hila, Krisanthi Naka
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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
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On Hyperideals in Left Almost Semihypergroups [PDF]
ISRN Algebra, 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, Jani Dine
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Application of (m, n)-Г-Hyperideals in Characterization of LA-Г-Semihypergroups [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2019 In this paper, we study the concept of ordered (m, n)-Г-hyperideals in an ordered LA-Г-semihypergroup. We show that if (S, Г, ◦,⩽) is a unitary ordered LA-Г-semihypergroup with zero 0 and satisfies the hypothesis that it contains no non-zero nilpotent (m,
Basar Abul
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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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On 1-Absorbing Prime Hyperideal and Some of Its Generalizations
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.
M. Anbarloei
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2021 arXiv admin note: substantial text overlap with arXiv:2109.08414; text overlap with arXiv:2109 ...
Mahdi Anbarloei, Xiaogang Liu
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Completely Prime Hyperideals of Ternary Semihypergroups
Discussiones Mathematicae - General Algebra and Applications, 2020 In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them.
Sarala Y. +3 more
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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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