Results 61 to 70 of about 411 (135)

Vougiouklis Contributions in the Field of Algebraic Hyperstructures

open access: yesRatio Mathematica, 2017
Thomas Vougiouklis was born in 1948,  Greece. He  has many contributions to algebraic hyperstructures. $H_v$-structures are  some of his main contributions.
Bijan Davvaz
doaj   +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

Spectrum of Zariski Topology in Multiplication Krasner Hypermodules

open access: yesMathematics, 2023
In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings.
Ergül Türkmen   +2 more
doaj   +1 more source

Weakly $S$-prime hyperideals [PDF]

open access: yesJournal of Mahani Mathematical Research
‎‎The purpose of this paper is presenting a new expansion class, namely weakly ‎$‎n‎$‎-ary ‎$‎S‎$‎-prime hyperideals in Krasner ‎$‎(m,n)‎$‎-hyperrings. In summary, we give an extension of ‎‎$‎n$-ary $‎S‎$‎-prime hyperideals. Some results and examples are
Mahdi Anbarloei
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

Hyper RL-ideals in hyper residuated lattices

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
In this paper, we introduce the notion of a (strong) hyper RL-ideal in hyper residuated lattices and give some properties and characterizations of them. Next, we characterize the (strong) hyper RL-ideals generated by a subset and give some characterizations of the lattice of these hyper RL-ideals.
openaire   +2 more sources

On Convex Ordered Hyperrings [PDF]

open access: gold, 2022
Yongsheng Rao   +2 more
openalex   +1 more source

Complementary multiplicative hyperrings

open access: yesDiscrete Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PROCESI, Rita, ROTA R.
openaire   +3 more sources

Recent results in hyperring and hyperfield theory

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the “sum” of two elements is a subset of the structure.
Anastase Nakassis
doaj   +1 more source

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