Results 61 to 70 of about 306 (150)
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 +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 SystemsIn 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 ApplicationsWe 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 +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 +4 more
doaj +1 more source
On 2-absorbing Primal Hyperideals Of Multiplicative Hyperrings [PDF]
, 2020 Let R be a commutative multiplicative hyperring. In this paper, we introduce the concept of 2-absorbing primal hyperideals. A non zero hyperideal I of a multiplicative hyperring R is called a 2-absorbing primal hyperideal of R if the set of all elements ...
Ashour, Arwa +2 more
core +3 more sources
$n-$absorbing $I-$prime hyperideals in multiplicative hyperrings [PDF]
, 2023 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 $b \in P$.
Mina, Ali A., Akray, Ismael
core +1 more source
International Journal of Tourism Cities, 2019 Purpose What ought we morally to do in a tourism academia dominated by metrics, quantification and digital codification? The purpose of this paper is to address this question by presenting the idea of “hyper academia” and exploring ethical perspectives and values related to hyper-digital cultures.
openaire +2 more sources
Hyperrings with n -ary composition hyperoperation
, 2017 Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of $n$-ary composition hyperring and study the connections with composition hyperrings.
Irina Cristea +3 more
core +1 more source
, 2022 The concept of convex ordered hyperrings associated with a strongly regular relation was investigated in this study. In this paper, we first studied hyperatom elements of ordered hyperrings and then investigated characterizations of quotient ordered ...
Mehdi Gheisari +2 more
core +1 more source