Results 51 to 60 of about 3,200 (92)
Normal hyperideals in Krasner (m, n)-hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Using a new definition, with respect to [21], for normal hyperideals in Krasner (m, n)-hyperrings, we show that the corresponding quotient structures are (m, n)-rings.
Norouzi Morteza +2 more
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t-Extending Krasner Hypermodules
, 2022 Let M be a hypermodule over a hyperring R such that the intersection of any two subhypermodules of M is a subhypermodule of M. We introduce the concept of a t-essential subhypermodule in M relative to an arbitrary subhypermodule T of M, which is called T-
Turkmen, Burcu Nisanci
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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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Notes on valuation theory for Krasner hyperfields [PDF]
, 2023 The main aim of this article is to study and develop valuation theory for Krasner hyperfields. In analogy with classical valuation theory for fields, we generalise the formalism of valuation rings to describe equivalence of valuations on hyperfields ...
Linzi, Alessandro
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Direct Limits of Krasner Hyperrings and their Hyperideals
Direct limits provide a fundamental tool for constructing algebraic structures over directed systems. In this paper, we investigate direct limits in the setting of Krasner hyperrings.
S. Ostadhadi-Dehkordi, M. Al Tahan
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Multiplicative hyperring of fractions and coprime hyperideals
, 2017 In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
A. Kordi, R. Ameri, S. Hoskova-Mayerova
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Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring [PDF]
, 2014 Some generalized forms of the hyperideals of a hyperring in the paper of Zhan et al. (2008) will be given. As a generalization of the interval valued (α,β)-fuzzy hyperideals of a hyperring with α,β∈{∈,q,∈∧q,∈∨q} and α≠∈∧q, the notion of generalized ...
Zeyuan Li, Hongjie Li, Yunqiang Yin
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Height of prime hyperideals in Krasner hyperrings
, 2017 Extending the notion of dimension of a hyperring, we introduce the concept of height of a prime hyperideal of a hyperring, similarly as in ring theory, and we present some basic properties and relations with the dimension notion.
Hashem Bordbar, Irina Cristea
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On the S-Spectrum of Krasner Hypermodules
<p>We study S-prime hyperideals by relating them to prime hyperideals. The S-prime hyperideals are studied in the hyperfield of fractions in the Krasner hyperring.
Aydin, Yildiz, Turkmen, Burcu Nisanci
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