Results 41 to 50 of about 779 (169)
Topological Krasner hyperrings with special emphasis on isomorphism theorems [PDF]
Applied General Topology, 2022 [EN] Krasner hyperring is studied in topological flavor. It is seen that Krasner hyperring endowed with topology, when the topology is compatible with the hyperoperations in some sense, fruits new results comprising algebraic as well as topological ...
Singha, Manooranjan, Das, Kousik
core +2 more sources
Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Comput Intell Neurosci, 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.
Zhou H +5 more
europepmc +2 more sources
Proto-exact categories of modules over semirings and hyperrings [PDF]
Journal of Algebra, 2022 \emph{Proto-exact categories}, introduced by Dyckerhoff and Kapranov, are a generalization of Quillen exact categories which provide a framework for defining algebraic K-theory and Hall algebras in a \emph{non-additive} setting.
Jaiung Jun +2 more
semanticscholar +1 more source
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
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
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
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Polygroups are an extended form of groups and a subclass of hypergroups that follow group‐type axioms. In this paper, we define a triplet single‐valued neutrosophic set, which is a generalization of fuzzy sets, intuitionistic fuzzy sets, and neutrosophic sets, and we combine this novel concept with hypergroups and polygroups.
M. Shazib Hameed +5 more
wiley +1 more source
Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ‐Semihypergroups
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 We give some conditions on ordered Γ‐semihypergroups under which their interior hyperideal is equal to the hyperideal. In this paper, it is shown that in regular (resp., intraregular, semisimple) ordered Γ‐semihypergroups, the hyperideals and the interior hyperideals coincide.
Yongsheng Rao +4 more
wiley +1 more source