Results 21 to 30 of about 754 (158)
Hyperideal theory in ordered Krasner hyperrings [PDF]
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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$(m,n)$-Hyperideals in Ordered Semihypergroups [PDF]
Categories and General Algebraic Structures with Applications, 2020 In this paper, first we introduce the notions of an $(m,n)$-hyperideal and a generalized $(m,n)$-hyperideal in an ordered semihypergroup, and then, some properties of these hyperideals are studied.
Ahsan Mahboob, Noor Khan, Bijan Davvaz
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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.
Mahdi Anbarloei
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Hyperideal polyhedra in hyperbolic 3-space [PDF]
Bulletin de la Société mathématique de France, 2002 The authors consider here hyperideal polyhedra. Thought of as projective polyhedra, these are intersections of the hyperbolic space \(\mathbb{H}^3\) with polyhedra, all of whose vertices lie outside \(\mathbb{H}^3\) (they may lie on the absolute). In this paper, such polyhedra are completely classified up to isometry in terms of their combinatorial ...
Xiliang Bao, Francis Bonahon
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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^+.
Mahdi Anbarloei
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A note on weakly prime hyperideals and (1, n) hyperideals on multiplicative hyperrings [PDF]
Thermal Science, 2022 In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing the relations between prime hyperideals and weakly prime hyperideals. Then we give definition of weakly n-hyperideal and weakly (1,n) hyperideal over multiplicative hyperrings.
Elif Ay, Gürsel Yeşіlot
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Normal Self-injective Hyperrings
مجلة بغداد للعلوم, 2022 In this paper normal self-injective hyperrings are introduced and studied. Some new relations between this concept and essential hyperideal, dense hyperideal, and divisible hyperring are studied.
Mayssam Fadel Abood +1 more
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Semi-derivation on prime hyperrings [PDF]
Journal of Hyperstructures, 2023 In this paper, we study the notion of semi-derivation in Krasner hyperring and present some examples of them.We intro-duce the concept of generalized semi-derivation in Krasner hyper-ring and present some examples.Then, we derive some properties of semi ...
Nikhil D. Sonone, Kishor F. Pawar
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Quasi S-primary hyperideals [PDF]
In this paper, we define and study quasi S-primary hyperideals, weakly quasi S-hyperideals and strongly S-primary hyperideals.
Mahdi Anbarloei
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Integral closures, primary hyperideals and hypervaluation hyperideals of Kranser hyperrings
Journal of Algebra and Its Applications, 2022 In this paper, the notions of integral closure of hyperrings and hyperideals in a Krasner hyperring [Formula: see text] are defined and some basics properties of them are studied. We define also the notion of hypervaluation hyperideals and then a relations between hypervaluations, integral closure of hyperideals and primary hyperideals are studied. In
M. J. Nikmehr, R. Nikandish, A. Yassine
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