Results 21 to 30 of about 58,058 (118)
r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r‐hyperideals in commutative Krasner hyperrings. Some properties of pr‐hyperideals are also studied. The relation between prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu +6 more
wiley +1 more source
Soft Relations Applied to the Substructures of Quantale Module and Their Approximation
Complexity, Volume 2022, Issue 1, 2022., 2022 This research article offers a study on a new relation of rough sets and soft sets with an algebraic structure quantale module by using soft reflexive and soft compatible relations. The lower approximation and upper approximation of subsets of quantale module are utilized by aftersets and foresets.
Saqib Mazher Qurashi +5 more
wiley +1 more source
On the Borderline of Fields and Hyperfields
Mathematics, 2023 The hyperfield came into being due to a mathematical necessity that appeared during the study of the valuation theory of the fields by M. Krasner, who also defined the hyperring, which is related to the hyperfield in the same way as the ring is related ...
Christos G. Massouros +1 more
doaj +1 more source
Extensions of $n$-ary prime hyperideals via an $n$-ary multiplicative subset in a Krasner $(m,n)$-hyperring [PDF]
, 2022 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.
Anbarloei, M.
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(WEAKLY) (s, n)-CLOSED HYPERIDEALS IN COMMUTATIVE MULTIPLICATIVE HYPERRINGS [PDF]
Journal of Algebraic SystemsA 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 $s,
Mahdi Anbarloei
doaj +1 more source
Hyper Coupled Map Lattices for Hiding Multiple Images
Complexity, 2023 The concept of a hyper coupled map lattice (CML) is presented in this paper. The complexity of the lattice is increased not by adding another spatial dimension of the lattice but by replacing scalar nodal variables by multidimensional square matrices of iterative variables.
Smidtaite, Rasa +3 more
openaire +2 more sources
Higher moments for random multiplicative measures [PDF]
, 2015 We obtain a condition for the Lq-convergence of martingales generated by random multiplicative cascade measures for q>1 without any self-similarity requirements on the cascades.Peer ...
Falconer, Kenneth John, K. J. Falconer
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$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
A class of hyperrings and hyperfields
International Journal of Mathematics and Mathematical Sciences, 1983 Hyperring is a structure generalizing that of a ring, but where the addition is not a composition, but a hypercomposition, i.e., the sum x+y of two elements, x,y, of a hyperring H is, in general, not an element but a subset of H.
Marc Krasner
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Alpha-prime hyperideals in a multiplicative hyperring
, 2021 The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.
openaire +2 more sources