Results 21 to 30 of about 763 (156)
Construction of composition (m, n, k)-hyperrings [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, our aim is to introduce the notion of a composition (m, n, k)-hyperring and to analyze its properties. We also consider the algebraic structure of (m, n, k) hyperrings which is a generalization of composition rings and composition ...
Davvaz B. +2 more
doaj +2 more sources
Transitivity of the εm-relation on (m-idempotent) hyperrings
Open Mathematics, 2018 On a general hyperring, there is a fundamental relation, denoted γ*, such that the quotient set is a classical ring. In a previous paper, the authors defined the relation εm on general hyperrings, proving that its transitive closure εm∗$\begin{array}{} \
Norouzi Morteza, Cristea Irina
doaj +3 more sources
The hyperring of adèle classes
Journal of Number Theory, 2011 The authors use the theory of hyperrings in order to understand the algebraic structure of the adele class space \(\mathbb{H}_{\mathbb{K}}= \mathbb{A}_{\mathbb{K}}/\mathbb{K}^*\) considered as a hyperring extension of the Krasner hyperring \(K\) (of two elements). The main results of the paper are the following: (1) If \(R\) is a commutative ring and \(
Alain Connes +3 more
openaire +3 more sources
Recent results in hyperring and hyperfield theory [PDF]
International 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 +2 more sources
Map‐Pointed Fuzzy Hyperoperations
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, we establish a correspondence between fuzzy hypergroupoids and certain types of hypergroupoids that possess map‐pointed properties. Specifically, we introduce a new type of fuzzy hyperoperations, known as map‐pointed fuzzy hyperoperations, and show that this correspondence yields an adjunction.
Mohammad Esmaeil Sharbati +4 more
wiley +1 more source
A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah +2 more
wiley +1 more source
Fuzzy Information and Engineering, 2022 In this paper, we determined a new characterisation of the derived nilpotent (Engel) Lie ring of fuzzy hyperrings by fuzzy strongly regular relation [Formula: see text]([Formula: see text]). Moreover, we proved that for a fuzzy hyperring S, the quotient [
E. Mohammadzadeh +3 more
doaj +1 more source
A guide to genetically encoded tools for the study of H2O2
The FEBS Journal, Volume 289, Issue 18, Page 5382-5395, September 2022., 2022 Hydrogen peroxide (H2O2) is one of the most important signaling molecules, which coordinates many physiological processes ranging from development to wound healing. Identification of mechanisms underlying specificity of H2O2‐dependent signal transduction is a central issue in redox biology.
Daria D. Smolyarova +3 more
wiley +1 more source
A perspective on astrocyte regulation of neural circuit function and animal behavior
Glia, Volume 70, Issue 8, Page 1554-1580, August 2022., 2022 Main Points Astrocytes encode neural circuit activity and behavioral variables. New tools allow interrogation of astrocyte‐neuron assembly function in relation to behavior. Neural circuit‐specific control and inter‐glial communication are emergent areas of study.
Johannes Hirrlinger, Axel Nimmerjahn
wiley +1 more source
ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan +6 more
wiley +1 more source