Results 11 to 20 of about 141 (99)

2-Prime Hyperideals of Multiplicative Hyperrings

Journal of Mathematics, 2022
Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring.
Mahdi Anbarloei
doaj   +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, Qurashi SM, Rehman MU, Shabir M, Kanwal RS, Khalil AM.   +5 more
europepmc   +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, Hamid Rasouli, Abolghasem Karimi Feizabadi, Abolfazl Tehranian, Francisco J. Garcia Pacheco   +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, Naveed Yaqoob, Tareq Al-shami   +2 more
wiley   +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, Oleg V. Podgorny, Dmitry S. Bilan, Vsevolod V. Belousov   +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, Elif Kaya, Melis Bolat, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Hasan Dinçer   +6 more
wiley   +1 more source

Multicriteria Decision‐Making Problem via Weighted Cosine Similarity Measure and Several Characterizations of Hypergroup and (Weak) Polygroups under the Triplet Single‐Valued Neutrosophic Structure

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, Zaheer Ahmad, Shahbaz Ali, Augustine Larweh Mahu, Walid F. A Mosa, Dragan Z. Marinkovic   +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, Qixin Zhou, Ruiqi Cai, Aysha Khan, Zahir Shah   +4 more
wiley   +1 more source

Some Developments in the Field of Homological Algebra by Defining New Class of Modules over Nonassociative Rings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The LA‐module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA‐rings). Because of peculiar characteristics of LA‐ring and its inception into noncommutative and nonassociative theory, drew the attention of many researchers over the last decade.
Asima Razzaque, Inayatur Rehman, Gohar Ali   +2 more
wiley   +1 more source