Results 21 to 30 of about 165 (126)
The commutative quotient structure of m-idempotent hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The α* -relation is a fundamental relation on hyperrings, being the smallest strongly regular relation on hyperrings such that the quotient structure R/α* is a commutative ring.
Zadeh Azam Adineh +2 more
doaj +1 more source
HYPER PATHS AND HYPER CYCLES [PDF]
International Journal of Pure and Apllied Mathematics, 2015 In graphs, paths are walks with no repeated vertex. A fortiori, paths cannot have any repeated edge. But in hypergraphs, hyperedges can re- peat in vertex-to-vertex walks without causing repetition of any vertex. This is the crux of the idea of generalizing paths and cycles (from graphs to hyper- graphs) presented in this short article.
R. Dharmarajan, K. Kannan
openaire +1 more source
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The LA‐module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA‐rings). Because of peculiar characteristics of LA‐ring and its inception into noncommutative and nonassociative theory, drew the attention of many researchers over the last decade.
Asima Razzaque +2 more
wiley +1 more source
Hyperideals and hypersystems in LA-hyperrings [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 In this paper we introduce the concept of LA-hyperrings. We explore some useful characterizations of LA-hyperrings through their hyperideals and hypersystems.
Inayatur Rehman +2 more
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On 1‐Absorbing Prime Hyperideal and Some of Its Generalizations
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce the concept of 1‐absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided. For example, it is proved that if a strong C‐hyperideal I of R is 1‐absorbing prime that is not prime, then R is a local multiplicative hyperring.
M. Anbarloei +1 more
wiley +1 more source
[Retracted] Roughness in Hypervector Spaces
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah +3 more
wiley +1 more source
2‐Prime Hyperideals of Multiplicative Hyperrings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
wiley +1 more source
Retracted: Topological Structures of Lower and Upper Rough Subsets in a Hyperring
, 2023 Journal of Mathematics, Volume 2023, Issue 1, 2023.
Journal of Mathematics
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Operations on hyperideals in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize
Omidi S., Davvaz B., Corsini P.
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Topological Structures of Lower and Upper Rough Subsets in a Hyperring
Journal of Mathematics, 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.
Nabilah Abughazalah +2 more
doaj +1 more source