Results 1 to 10 of about 275 (108)

Fuzzy γ-hyperideals in γ-hypersemirings by using triangular norms. [PDF]

ScientificWorldJournal, 2014
The concept of Γ‐semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ‐semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub‐Γ‐semihyperrings as well as triangular fuzzy Γ‐hyperideals of a Γ‐semihyperring, and we study a few results in this ...
Ersoy BA, Davvaz B, Onar S, Leoreanu-Fotea V.   +3 more
europepmc   +2 more sources

The Witt construction in characteristic one and Quantization

We develop the analogue of the Witt construction in characteristic one. We construct a functor from pairs of a perfect semi-ring of characteristic one and an element strictly larger than one, to real Banach algebras.
Connes, Alain
core   +1 more source

Hypergroup Theory and Algebrization of Incidence Structures [PDF]

, 2023
Dario Fasino, Domenico Freni
core   +1 more source

(Weakly) $(\alpha,\beta)$-prime hyperideals in commutative multiplicative hypeering

Let $H$ be a commutative multiplicative hyperring and $\alpha, \beta \in \mathbb{Z}^+$. A proper hyperideal $P$ of $H$ is called (weakly) $(\alpha,\beta)$-prime if $x^\alpha \circ y \subseteq P$ for $x,y \in H$ implies $x^\beta \subseteq P$ or $y \in P$.
Anbarloei, Mahdi
core  

Merging N-hyperideals and J-hyperideals in one frame

The notions of N-hyperideals and J-hyperideals as two classes of hyperideals were recently defined in the context of Krasner (m,n)-hyperrings. These concepts are created on the basis of the intersection of all n-ary prime hyperideals and the intersection
Anbarloei, Mahdi
core  

A novel study on the structure of left almost hypermodules. [PDF]

Heliyon
Abughazalah N, Kanwal SS, Mehdi M, Yaqoob N.   +3 more
europepmc   +1 more source

On graded fuzzy n-absorbing hyperideals in graded multiplicative hyperrings

Soft Computing, 2023
Abstract ABSTRACT. Let G be a group with identity e and R be a graded commutative multiplicative hyperring. In this article, we study the notion of graded fuzzy multiplicative hyperrings as a generalization of fuzzy multiplicative hyperrings.
P Ghiasvand
exaly   +2 more sources

Unifing the prime and primary hyperideals under one frame in a Krasner (m, n)-hyperring

Communications in Algebra, 2021

exaly  

A study on a generalization of the n-ary prime hyperideals in a Krasner (m, n)-hyperring

Afrika Matematika, 2021

exaly  

Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m,n)-hyperring

Filomat, 2023
exaly