Results 51 to 60 of about 779 (169)
Hyper Homomorphism and Hyper Product of Hyper UP-algebras
European Journal of Pure and Applied Mathematics, 2020 In this paper, we investigate the concept of regular congruence relation on hyper UP-algebras and establish some homomorphism theorems on such algebras. We also examine the notion of hyper product of hyper UP-algebras.
Rohaima M. Amairanto, Rowena Isla
openaire +2 more sources
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
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
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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
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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
Zero Divisor Graphs Based on General Hyperrings
Journal of Algebraic Hyperstructures and Logical Algebras, 2023 This paper introduces the concepts of reproduced general hyperring and valued-orderable general hyperring and investigates some properties of these classes of general hyperrings.
M. Hamidi
semanticscholar +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
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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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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
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Semi-derivation on prime hyperrings [PDF]
Journal of Hyperstructures, 2023 In this paper, we study the notion of semi-derivation in Krasner hyperring and present some examples of them.We intro-duce the concept of generalized semi-derivation in Krasner hyper-ring and present some examples.Then, we derive some properties of semi ...
Nikhil D. Sonone, Kishor F. Pawar
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