Results 31 to 40 of about 516 (115)

Soft Relations Applied to the Substructures of Quantale Module and Their Approximation

open access: yesComplexity, Volume 2022, Issue 1, 2022., 2022
This research article offers a study on a new relation of rough sets and soft sets with an algebraic structure quantale module by using soft reflexive and soft compatible relations. The lower approximation and upper approximation of subsets of quantale module are utilized by aftersets and foresets.
Saqib Mazher Qurashi   +5 more
wiley   +1 more source

On quotient clean hyperring [PDF]

open access: yesJournal 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

On clean hyperrings [PDF]

open access: yesJournal 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 Hyperideals of Multiplicative Hyperrings

open access: yesCumhuriyet Science Journal, 2022
Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
doaj   +1 more source

HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]

open access: yesJournal of Algebraic Systems, 2019
An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$.
M. A. Madani, S. Mirvakili, B. Davvaz
doaj   +1 more source

On the relation between hyperrings and fuzzy rings [PDF]

open access: yes, 2017
We construct a full embedding of the category of hyperfields into Dress's category of fuzzy rings and explicitly characterize the essential image --- it fails to be essentially surjective in a very minor way. This embedding provides an identification of
A Connes   +8 more
core   +1 more source

Normal Self-injective Hyperrings

open access: yesمجلة بغداد للعلوم, 2022
       In this paper normal self-injective hyperrings are introduced and studied. Some new relations between this concept and essential hyperideal, dense hyperideal, and divisible hyperring are studied. 
Mayssam Fadel Abood   +1 more
doaj   +1 more source

On Strongly Associative (Semi)Hypergroups [PDF]

open access: yes, 2017
In this paper we introduce the notion of a strongly associative hyperoperation that we call SASS and obtain new class of semihypergroups...
Jafarpour, M. (Morteza)   +2 more
core   +1 more source

An introduction to the theory of algebraic multi-hyperring spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics.
Hila Kostaq, Davvaz Bijan
doaj   +1 more source

A GENERALIZATION OF PRIME HYPERIDEALS [PDF]

open access: yesJournal of Algebraic Systems, 2020
‎‎Let $R$ be a multiplicative hyperring‎. In this paper‎, ‎we introduce and study the concept of n-absorbing hyperideal which is a generalization‎ ‎of prime hyperideal‎.
M. Anbarloei
doaj   +1 more source

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