Results 21 to 30 of about 255 (98)
A Study on A − I − Γ‐Hyperideals and (m, n) − Γ‐Hyperfilters in Ordered Γ‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 The concept of almost interior Γ‐hyperideals (A − I − Γ‐hyperideals) in ordered Γ‐semihypergroups is a generalization of the concept of interior Γ‐hyperideals (I − Γ‐hyperideals). In this study, the connections between I − Γ‐hyperideals and A − I − Γ‐hyperideals in ordered Γ‐semihypergroups were presented.
Yongsheng Rao +5 more
wiley +1 more source
[Retracted] Topological Structures of Lower and Upper Rough Subsets in a Hyperring
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we study the connection between topological spaces, hyperrings (semi‐hypergroups), and rough sets. We concentrate here on the topological parts of the lower and upper approximations of hyperideals in hyperrings and semi‐hypergroups. We provide the conditions for the boundary of hyp‐ideals of a hyp‐ring to become the hyp‐ideals of hyp ...
Nabilah Abughazalah +3 more
wiley +1 more source
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
doaj +1 more source
Regular Parameter Elements and Regular Local Hyperrings
Mathematics, 2021 Inspired by the concept of regular local rings in classical algebra, in this article we initiate the study of the regular parameter elements in a commutative local Noetherian hyperring.
Hashem Bordbar, Irina Cristea
doaj +1 more source
On the Borderline of Fields and Hyperfields
Mathematics, 2023 The hyperfield came into being due to a mathematical necessity that appeared during the study of the valuation theory of the fields by M. Krasner, who also defined the hyperring, which is related to the hyperfield in the same way as the ring is related ...
Christos G. Massouros +1 more
doaj +1 more source
The moduli space of matroids [PDF]
, 2018 In the first part of the paper, we clarify the connections between several algebraic objects appearing in matroid theory: both partial fields and hyperfields are fuzzy rings, fuzzy rings are tracts, and these relations are compatible with the respective ...
Baker, Matthew, Lorscheid, Oliver
core +2 more sources
Normal Self-injective Hyperrings [PDF]
, 2022 In this paper normal self-injective hyperrings are introduced and studied. Some new relations between this concept and essential hyperideal, dense hyperideal, and divisible hyperring are studied.
Mayssam Fadel Abood +1 more
core +2 more sources
On the relation between hyperrings and fuzzy rings [PDF]
, 2017 We construct a full embedding of the category of hyperfields into Dress's category of fuzzy rings and explicitly characterize the essential image --- it fails to be essentially surjective in a very minor way. This embedding provides an identification of
A Connes +8 more
core +1 more source
Hyper vector spaces over Krasner hyperfields [PDF]
Journal of Algebraic Hyperstructures and Logical Algebras, 2020 In this paper, we study hyper vector spaces over Krasner hyperfields. First, we introduce the notions of linearly independence (dependence) and basis for a hyper vector space. Second, we investigate their properties and prove some results for hyper vector spaces that are similar to that of vector spaces over fields.
M. Al-Tahan, Bijan Davvaz
openaire +1 more source
Fundamental System and Boundary Structure of Topological Krasner Hypermodules [PDF]
Sahand Communications in Mathematical AnalysisIn this article, we first define hyperstructures known as Krasner hypermodules. Then, the concept of topological Krasner hypermodules is explored, examining their fundamental propertiesand the notion of continuous mappings that exist between such ...
Azam Zare, Bijan Davvaz
doaj +1 more source