Results 91 to 100 of about 306 (150)
Fundamental relation on m-idempotent hyperrings
Open Mathematics, 2017 The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called εm∗$\varepsilon^{*}_{m}
Norouzi Morteza, Cristea Irina
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Hyper-Fibonacci and Hyper-Lucas Polynomials
Turkish Journal of Mathematics and Computer Science, 2023 In this paper, hyper-Fibonacci and hyper-Lucas polynomials are defined and some of their algebraic and combinatorial properties such as the recurrence relations, summation formulas, and generating functions are presented. In addition, some relationships between the hyper-Fibonacci and hyper-Lucas polynomials are given.
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The maximal hyperrings of quotients
, 2020 We show that the maximal quotient hyperring Q(mr)(R) of a semiprime hyperring R can be obtained in a similar way to a maximal quotient ring. In this regard we introduce and study some basic notions of hyperrings such as dense hyperideal, essential ...
Yazarli, Hasret +2 more
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A note on hyperrings and hypermodules [PDF]
The main purpose of this paper is to study the concept of the hyperring (ℕ, ⊕, ·), where m ⊕ n = {m + n, k | min{m,n} + k = max{m,n}}, for all m, n ∈ N and the operation · is the usual multiplication in ℕ. In particular, we prove that this hyperring (ℕ, ⊕
T¨urkmen, Erg¨ul +2 more
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, 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,
Violeta Leoreanu-Fotea +2 more
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HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
, 2017 Inspired by the classical concept of height of a prime ideal in a ring, we proposed in a precedent paper the notion of height of a prime hyperideal in a Krasner hyperring.
Cristea, Irina +2 more
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Extended and generalized centroid of hyperrings
, 2022 Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tez dört bölümden oluşmaktadır: Birinci bölümde, hiper halka teorisindeki tezde kullanılan temel tanım ve teoremler örneklerle verilmiştir.
Yılmaz, Damla
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Recent results in hyperring and hyperfield theory
International Journal of Mathematics and Mathematical Sciences, 1988 This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the sum of two elements is a subset of the structure.
Anastase Nakassis
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Primary hyperideals of multiplicative hyperrings
, 2018 In this article, we study prime, primary, C-hyperideals of multiplicative hyperrings in the senseof Rota [14]. Prime hyperideal avodiance lemma was proved in [4]. We mainly study union of primaryhyperideals in hyperring.
Davvaz, Bijan +2 more
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