wsq-primary hyperideals of a Krasner (m,n)-hyperring
In this paper we aim to introduce some hyperideals such as q-primary, (k,n)-absorbing q-primary, sq-primary, wsq-primary hyperideals.
math.AC↗
arXiv subjects
M. Anbarloei
Publications and source records attributed to M. Anbarloei.
Classical prime subhypermodules and related classes
In this paper, we extend the notion of prime subhypermodules to n-ary classical prime, n-ary weakly classical prime and n-ary phi-classical prime subhypermodules of an (m,n)-hypermodule over a commutative Krasner (m,n)-hyperring. Many properties and characterizations of them are introduced. Moreover, we investigate the behavior of these structures under hypermodule homomorphisms, quotient hypermodules and cartesian product.
math.AC↗
Interval valued $(α,β)$-fuzzy hyperideals in Krasner $(m,n)$-hyperrings
In this paper the notion of quasicoincidence of a fuzzy interval valued with an interval valued fuzzy set, which generalizes the concept of quasicoincidence of a fuzzy point in a fuzzy set is concentrated.
math.GM↗
Classes of F-hyperideals of a Krasner F^{(m,n)}-hyperring
Krasner F^{(m,n)}-hyperring were introduced and investigated by Farshi and Davvaz. In this paper, our purpose is to define and characterize three classes of F-hyperideals in a Krasner F^{(m,n)}-hyperring, namely, prime F-hyperideals, maximal F-hyperideals and primary F-hyperideals.
math.AC↗
Multiplication $(m,n)$-hypermodules
The concept of multiplication $(m,n)$-hypermodules was introduced by Ameri and Norouzi in \cite{sorc2}. Here we intend to investigate extensively the multiplication $(m,n)$-hypermodules. Let $(M,f,g)$ be a $(m,n)$-hypermodule (with canonical $(m,n)$-hypergroups) over a commutative Krasner $(m,n)$-hyperring $(R,h,k)$. A $(m, n)$-hypermodule $(M, f, g)$ over $(R, h, k)$ is called a multiplication $(m, n)$-hypermodule if for each subhypermodule $N$ of $M$, there exists a hyperideal $I$ of $R$ such that $N =g(I, 1^{(n-2)}, M)$.
math.AC↗
Krasner (m,n)-hyperring of fractions
The formation of rings of fractions and the associated process of localization are the most important technical tools in commutative algebra. Krasner (m,n)-hyperrings are a generalization of (m,n)-ring. Let R be a commutative Krasner (m,n)-hyperring. The aim of this research work is to introduced the concept of fractions generated by R and then investigate the basic properties.
math.AC↗
Extensions of $n$-ary prime hyperideals via an $n$-ary multiplicative subset in a Krasner $(m,n)$-hyperring
Let R be a Krasner (m,n)-hyperring and S be an n-ary multiplicative subset of R. The purpose of this paper is to introduce the notion of n-ary S-prime hyperideals as a new expansion of n-ary prime hyperideals. Several properties and characterizations concerning n-ary S-prime hyperideals are presented. The stability of this new concept with respect to various hyperring-theoretic constructions are studied. Furthermore, we extend this concept to n-ary S-primary hyperideals. We obtained some specific results explaining the structure.
math.AC↗
Remarks on J-hyperideals and their expansion
The aim of this research work is to define and characterize a new class of hyperideals in a Krasner (m,n)-hyperring that we call n-ary J-hyperideals. Also, we study the concept of n-ary delta-J-hyperideals as an expansion of n-ary J-hyperideals. Finally, we extend the notion of n-ary delta-J-hyperideals to (k,n)-absorbing delta-J-hyperideals.
math.AC↗
J-prime hyperideals and their generalizations
Let R be a multiplicative hyperring with identity. In this paper, we define the concept of J-prime hyperideals which is a generalization of n-hyperideals and we will show some properties of them. Then we extend the notion of J-prime to quasi J-prime and 2-absorbing J-prime hyperideals. Various characterizations of them are provided.
math.AC↗