Results 71 to 80 of about 242 (135)
Classical prime subhypermodules and related extensions [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper, we extend the notion of prime subhypermodulesto $n$-ary classical prime, $n$-ary weakly classical prime and $n$-ary $\phi$-classical prime subhypermodules of an $(m,n)$-hypermodule over a commutative Krasner $(m,n)$-hyperring.
Mahdi Anbarloei
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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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Topologies on a Hyper Sum and Hyper Product of Two Hyper BCK-algebras
European Journal of Pure and Applied Mathematics, 2019 Given a hyper BCK-algebra (H, ∗, 0), each of the families BL(H) = {LH(A) : ∅ 6=A ⊆ H} and BR(H) = {RH(A) : ∅ 6= A ⊆ H} forms a base for some topology on H, where LH(A) = {x ∈ H : x a, ∀a ∈ A} and RH(A) = {x ∈ H : a x, ∀a ∈ A} for any subset A of H. In this paper, we determine the bases of the topologies induced by the hyper sum H1
Rachel Moridas Patangan +1 more
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A more general framework than the delta-primary hyperideals
, 2023 In this paper we aim to study the notion of (t,n)-absorbing delta-semiprimary hyperideal in a Krasner (m,n ...
Anbarloei, Mahdi
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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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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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(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^+.
Anbarloei, Mahdi
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CoRRWe present hyper-connections, a simple yet effective method that can serve as an alternative to residual connections. This approach specifically addresses common drawbacks observed in residual connection variants, such as the seesaw effect between gradient vanishing and representation collapse.
Defa Zhu +7 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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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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