Results 31 to 40 of about 1,089 (143)
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
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
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
Regular local hyperrings and hyperdomains
AIMS Mathematics, 2022 This paper falls in the area of hypercompositional algebra. In particular it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings.
H. Bordbar +2 more
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
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
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
A Study on Special Kinds of Derivations in Ordered Hyperrings
Symmetry, 2022 In this study, we concentrate on an important class of ordered hyperstructures with symmetrical hyperoperations, which are called ordered Krasner hyperrings, and discuss strong derivations and homo-derivations.
Yongsheng Rao +3 more
semanticscholar +1 more source
Signed Tropical Convexity [PDF]
, 2020 We establish a new notion of tropical convexity for signed tropical numbers. We provide several equivalent descriptions involving balance relations and intersections of open halfspaces as well as the image of a union of polytopes over Puiseux series and ...
Loho, Georg
core +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
wiley +1 more source