Results 51 to 60 of about 176 (124)

Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical

Journal of Mathematics, Volume 2024, Issue 1, 2024.
We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın, Burcu Nişancı Türkmen, Ma Xuanlong   +2 more
wiley   +1 more source

Fundamental System and Boundary Structure of Topological Krasner Hypermodules [PDF]

Sahand Communications in Mathematical Analysis
In this article, we first define hyperstructures known as Krasner hypermodules. Then, the concept of topological Krasner hypermodules is explored, examining their fundamental propertiesand the notion of continuous mappings that exist between such ...
Azam Zare, Bijan Davvaz
doaj   +1 more source

Derived Hyperstructures from Hyperconics

Mathematics, 2020
In this paper, we introduce generalized quadratic forms and hyperconics over quotient hyperfields as a generalization of the notion of conics on fields.
Vahid Vahedi, Morteza Jafarpour, Sarka Hoskova-Mayerova, Hossein Aghabozorgi, Violeta Leoreanu-Fotea, Svajone Bekesiene   +5 more
doaj   +1 more source

About the Normal Projectivity and Injectivity of Krasner Hypermodules

Axioms, 2021
Inspired by the concepts of projective and injective modules in classical algebraic structure theory, in this paper we initiate the study of the chains of hypermodules over a Krasner hyperring R, endowing first the set HomRn(M,N) of all normal ...
Hashem Bordbar, Irina Cristea
doaj   +1 more source

n−ABSORBING I−PRIME HYPERIDEALS IN MULTIPLICATIVE HYPERRINGS [PDF]

Journal of Algebraic Systems
In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$.
Ali Abdullah Mena, Ismael Akray
doaj   +1 more source

Primitive hyperideals and hyperstructure spaces of hyperrings [PDF]

Categories and General Algebraic Structures with Applications
We introduce primitive hyperideals of a hyperring $R$ and show how they are related to $R$ itself, and to maximal and prime hyperideals of $R$. We endow a Jacobson topology on the set of primitive hyperideals of $R$ and study the topological properties ...
Karin-Therese Howell, Amartya Goswami, Bijan Davvaz   +2 more
doaj   +1 more source

Single-Valued Neutrosophic Hyperrings and Single-Valued Neutrosophic Hyperideals [PDF]

Neutrosophic Sets and Systems, 2019
In this paper, we introduced the concepts of Single-valued neutrosophic hyperring and Single-valued neutrosophic hyperideal. The algebraic properties and structural characteristics of the single-val-ued neutrosophic hyperrings and hyperideals are ...
D. Preethi, S. Rajareega, J.Vimala, Ganeshsree Selvachandran, F. Smarandache   +4 more
doaj   +1 more source

Single-Valued Neutrosophic Hyperring Statistical Consistency Framework for Evaluating University Ideological and Political Education Quality [PDF]

Neutrosophic Sets and Systems
Assessing the quality of ideological and political education at the university level requires handling diverse indicators, including knowledge acquisition, student participation, engagement, and attitudinal development.
Jingyi Ma, Yuanyuan Wang
doaj   +1 more source

On topological quotient hyperrings and α*-relation

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this research, we first introduce the concept of a topological Krasner hyperring and then proceed to investigate its properties. By applying relative topology to subhyperrings, we analyze the properties associated with them. In other words, the aim is
Zare A., Davvaz B.
doaj   +1 more source

(WEAKLY) (s, n)-CLOSED HYPERIDEALS IN COMMUTATIVE MULTIPLICATIVE HYPERRINGS [PDF]

Journal of Algebraic Systems
‎A multiplicative hyperring is a well-known type of algebraic hyperstructures which extends a ring to a structure in which the addition is an operation but the multiplication is a hyperoperation‎. ‎Let $G$ be a commutative multiplicative hyperring and $s,
Mahdi Anbarloei
doaj   +1 more source