Results 11 to 20 of about 3,848 (106)
A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS [PDF]
Journal of Algebraic Systems, 2020 In this paper, we extend the notion of 2-absorbing ideal on rings to Krasner hyperrings. In fact, we give a characterization of new generalization of prime hyperideals in Krasner hyperrings by introducing 2-absorbing hyperideals.
L. Kamali Ardekani, B. Davvaz
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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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Generalizations of Prime Hyperideals via Hypersystems in Krasner Hyperrings [PDF]
AxiomsThe aim of this study is to investigate generalized prime hyperideals in the framework of Krasner hyperrings. To this end, new classes of hyperideals are introduced and analyzed based on multiplicatively closed properties.
Mehmet Bozdaş, Ummahan Acar
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Height of prime hyperideals in Krasner hyperrings
Filomat, 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. In the second part of the article we illustrate some results concerning the height of prime hyperideals in ...
H. Bordbar, I. Cristea
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On σ-derivations of Krasner hyperrings
Gulf Journal of MathematicsWe present a significant extension of the derivation concept to Krasner hyperrings, namely the σ-derivation, which is defined utilizing a self-mapping σ on the hyperring R.
U. Leerawat +2 more
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Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r‐hyperideals in commutative Krasner hyperrings. Some properties of pr‐hyperideals are also studied. The relation between prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu +5 more
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Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m,n)-hyperring [PDF]
Filomat, 2022 Let R be a Krasner (m, n)-hyperring and S be an n-ary multiplicative subset of R. The purpose of this paper is to introduce the notion of n-ary S-prime hyperideals as a new expansion of n-ary prime hyperideals.
M. Anbarloei
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Interval valued (α, β)-fuzzy hyperideals in Krasner (m, n)-hyperrings [PDF]
Journal of Algebraic Hyperstructures and Logical Algebras, 2023 In this paper, the notion of quasicoincidence of a fuzzy interval valued with an interval valued fuzzy set, which generalizes the concept of quasicoincidence of a fuzzy point in a fuzzy set is concentrated.
M. Anbarloei
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$ϕ$-$δ$-Primary Hyperideals in Krasner Hyperrings [PDF]
, 2021 In this paper, we study commutative Krasner hyperring with nonzero identity. $ $-prime, $ $-primary and $ $-$ $-primary hyperideals are introduced. We intend to extend the concept of $ $-primary hyperideals to $ $-$ $-primary hyperideals. We give some characterizations of hyperideals to classify them. We denote the set of all hyperideals of $\Re$
Elif Kaya +4 more
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About the Normal Projectivity and Injectivity of Krasner Hypermodules
Axioms, 2021 Inspired by the concepts of projective and injective modules in classical algebraic structure theory, in this paper we initiate the study of the chains of hypermodules over a Krasner hyperring R, endowing first the set HomRn(M,N) of all normal ...
Hashem Bordbar, Irina Cristea
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