Results 81 to 90 of about 779 (169)
Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
Journal of Mathematics, Volume 2024, Issue 1, 2024.We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın +2 more
wiley +1 more source
Weakly $S$-prime hyperideals [PDF]
Journal of Mahani Mathematical ResearchThe purpose of this paper is presenting a new expansion class, namely weakly $n$-ary $S$-prime hyperideals in Krasner $(m,n)$-hyperrings. In summary, we give an extension of $n$-ary $S$-prime hyperideals. Some results and examples are
Mahdi Anbarloei
doaj +1 more source
On Hyperideals of Multiplicative Hyperrings
Cumhuriyet Science Journal, 2022 Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
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, 2021 Let R be an (m,n)-hyperring. The Γ∗-relation on R in the sense of Mirvakili and Davvaz [?] is the smallest strong compatible relation such that the quotient R∕Γ∗ is an (m,n)-ring. We use Γ∗-relation to define a fundamental functor, F from the category of (
A. Asadi, R. Ameri, M. Norouzi
semanticscholar +1 more source
Spectrum of Zariski Topology in Multiplication Krasner Hypermodules
Mathematics, 2023 In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings.
Ergül Türkmen +2 more
doaj +1 more source
ON HYPERIDEALS OF KRASNER HYPERRINGS BASED ON DERIVED UNITARY RINGS [PDF]
, 2022 In this paper first, we introduce and analyze the strongly regular relations $\lambda^*_{e}$ and $\Lambda^*_{e}$ on a hyperring such that the derived quotient ring is unitary and unitary commutative, respectively. Next, we define and study the notion of $
Mousavi, Seyed +7 more
core +1 more source
HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]
Journal of Algebraic Systems, 2019 An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$.
M. A. Madani, S. Mirvakili, B. Davvaz
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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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OPTIMAL HYPER-MINIMIZATION [PDF]
International Journal of Foundations of Computer Science, 2011 Minimal deterministic finite automata (DFAs) can be reduced further at the expense of a finite number of errors. Recently, such minimization algorithms have been improved to run in time O(n log n), where n is the number of states of the input DFA, by [GAWRYCHOWSKI and JEŻ: Hyper-minimisation made efficient. Proc. MFCS, LNCS 5734, 2009] and [HOLZER and
Andreas Maletti, Daniel Quernheim
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