Results 21 to 30 of about 263,497 (101)

A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups

open access: yesJournal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah   +2 more
wiley   +1 more source

Hyper-systolic matrix multiplication [PDF]

open access: yesParallel Computing, 2001
A novel parallel algorithm for matrix multiplication is presented. The hyper-systolic algorithm makes use of a one-dimensional processor abstraction. The procedure can be implemented on all types of parallel systems. It can handle matrix-vector multiplications as well as transposed matrix products.
Lippert, Th.   +3 more
openaire   +4 more sources

ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings

open access: yesMathematical 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   +6 more
wiley   +1 more source

r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings

open access: yesMathematical 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

open access: yesComplexity, 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

The moduli space of matroids [PDF]

open access: yes, 2018
In the first part of the paper, we clarify the connections between several algebraic objects appearing in matroid theory: both partial fields and hyperfields are fuzzy rings, fuzzy rings are tracts, and these relations are compatible with the respective ...
Baker, Matthew, Lorscheid, Oliver
core   +2 more sources

On phi-2-Absorbing phi‎-2-Absorbing Primary Hyperideals of A Multiplicative Hyperring

open access: yesJournal of the Indonesian Mathematical Society, 2019
‎Let $R$ be a multiplicative hyperring‎. ‎In this paper‎, ‎we extend the concept of 2-absorbing hyperideals and 2-absorbing primary hyperideals to the context ‎$‎\varphi‎$‎-2-absorbing hyperideals and ‎$‎\varphi‎$‎-2-absorbing primary hyperideals. Let ‎$‎
M. Anbarloei
semanticscholar   +1 more source

On the relation between hyperrings and fuzzy rings [PDF]

open access: yes, 2017
We construct a full embedding of the category of hyperfields into Dress's category of fuzzy rings and explicitly characterize the essential image --- it fails to be essentially surjective in a very minor way. This embedding provides an identification of
A Connes   +8 more
core   +1 more source

Hyper Coupled Map Lattices for Hiding Multiple Images

open access: yesComplexity, 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

Hyperideal Structure of Krasner's Induced Quotient Hypperings

open access: yesVavuniya Journal of Science, 2022
This paper mainly explores the hyperideal structure of Krasner’s induced quotient hyperrings. By Krasner’s induced hyperring, we mean an additive hyperring R/G induced on a ring R by one of its multiplicative subgroups G.
R. Rathnayaka, Nadesan Ramaruban
semanticscholar   +1 more source

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