Results 31 to 40 of about 1,283 (167)
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
Fundamental Functor Based on Hypergroups and Groups [PDF]
Mathematics Interdisciplinary Research, 2018 The purpose of this paper is to compute of fundamental relations of hypergroups. In this regards first we study some basic properties of fundamental relation of hypergroups, then we show that any given group is isomorphic to the fundamental group of a ...
Mohammad Hamidi
doaj +1 more source
On Some Homological Properties of Hypergroup Algebras with Relation to Their Character Spaces
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we study the notion of approximate biprojectivity and left φ‐biprojectivity of some Banach algebras, where φ is a character. Indeed, we show that approximate biprojectivity of the hypergroup algebra L1(K) implies that K is compact. Moreover, we investigate left φ‐biprojectivity of certain hypergroup algebras, namely, abstract Segal ...
Amir Sahami +4 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
F-Hypergroups of Type U on the Right [PDF]
Mathematics Interdisciplinary Research, 2020 In this paper, first we introduce F-hypergroups of type U on the right. We will prove that every right scalar identity of an F-hypergroup of type U on the right of size ≤ 5 is also a left identity.
Mehdi Farshi +2 more
doaj +1 more source
Hypergroups and hypergroup algebras [PDF]
Journal of Soviet Mathematics, 1987 52 ...
openaire +2 more sources
[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
Properties of n-ary hypergroups relevant for modelling trajectories in HD maps
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In the paper we show that trajectories used in HD maps of autonomous vehicles can be well modelled by means of n-ary hyperoperations and hypergroups. We investigate some properties of such hypergroups.
Křehlík Štěpán +2 more
doaj +1 more source
On soft topological hypergroups [PDF]
Journal of Hyperstructures, 2020 Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision.
Gulay Oguz
doaj +1 more source