Results 31 to 40 of about 306 (150)
On Refined Neutrosophic Hyperrings [PDF]
Neutrosophic Sets and Systems, 2021 This paper presents the refinement of a type of neutrosophic hyperring in which +’ and ·’ are hyperoperations and studied some of its properties. Several interesting results and examples are presented.
M.A. Ibrahim +3 more
doaj +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
[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
On quotient clean hyperring [PDF]
Journal of Hyperstructures, 2015 In this paper, we introduce the notion of quotient Krasner hyperrings and prove that if I is a normal ideal of Krasner hyperring (R, +, ·), then quotient clean Krasner hyperring considered in [1] by Talebi et. al are just clean rings.
S. Ostadhadi-Dehkord
doaj +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
Soft Substructures in Quantales and Their Approximations Based on Soft Relations
Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022 The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Huan Zhou +6 more
wiley +1 more source
Journal of Hyperstructures, 2015 We introduce and study clean hyperrings. A hyperring R is called a clean hyperring if for every element x of R, x ∈ u + e where u is a unit and e is an idempotent.
Taybeh Amouzegar, Yahya Talebi
doaj +1 more source
On Characterizations of (ω, ε, ς)-Single Valued Neutrosophic Hyperrings and Hyperideals [PDF]
Neutrosophic Sets and Systems, 2022 This study included concepts for (ω, ε, ς)-single valued neutrosophic hyperring ((ω, ε, ς)-SV NHR) and (ω, ε, ς)-single valued neutrosophic hyperideal ((ω, ε, ς)-SV NHI).
Muhammad Shazib Hameed +3 more
doaj +1 more source
Classes of F-hyperideals of a Krasner F^{(m,n)}-hyperring [PDF]
, 2022 Krasner F^{(m,n)}-hyperring were introduced and investigated by Farshi and Davvaz. In this paper, our purpose is to define and characterize three classes of F-hyperideals in a Krasner F^{(m,n)}-hyperring, namely, prime F-hyperideals, maximal F ...
Anbarloei, M.
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