Results 31 to 40 of about 294 (94)

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

On 1‐Absorbing Prime Hyperideal and Some of Its Generalizations

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce the concept of 1‐absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided. For example, it is proved that if a strong C‐hyperideal I of R is 1‐absorbing prime that is not prime, then R is a local multiplicative hyperring.
M. Anbarloei, Carmelo Antonio Finocchiaro   +1 more
wiley   +1 more source

[Retracted] Roughness in Hypervector Spaces

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah, Naveed Yaqoob, Muhammad Usman, Muhammad Gulzar   +3 more
wiley   +1 more source

Fuzzy Krasner (m,n)-hyperrings [PDF]

, 2010
Recently, Krasner (m,n)-hyperrings were introduced and analyzed by Mirvakili and Davvaz. Krasner (m,n)-hyperrings are a suitable generalization of Krasner hyperrings. This paper concerns a relationship between fuzzy sets and hyperstructure theory.
Davvaz, B.
core   +1 more source

2‐Prime Hyperideals of Multiplicative Hyperrings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 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. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
wiley   +1 more source

Regular local hyperrings and hyperdomains [PDF]

, 2022
This paper falls in the area of hypercompositional algebra. In particular, it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings.
Cristea, Irina, Bordbar, Hashem, Rasovic, Sanja   +2 more
core   +1 more source