Results 11 to 20 of about 282 (108)

On 1-Absorbing Prime Hyperideal and Some of Its Generalizations

open access: yesJournal of Mathematics, 2022
In this paper, we introduce the concept of 1-absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided.
M. Anbarloei
doaj   +2 more sources

On expansions of prime and 2-absorbing hyperideals in multiplicative hyperrings [PDF]

open access: bronzeTURKISH JOURNAL OF MATHEMATICS, 2019
In this paper, we study $ \delta $-primary and 2-absorbing $ \delta $-primary hyperideals which are the extended classes of prime and 2-absorbing hyperideals, respectively. Assume that $R$ is a commutative multiplicative hyperring with nonzero identity. We call $ I \in \mathcal{I*(R)}$ a $\delta $-primary hyperideal if $a,b\in R$ and $a\circ b\subseteq
Gülşen Ulucak
openalex   +2 more sources

Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring [PDF]

open access: closedJournal of Hyperstructures, 2015
We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties.
Md Salim Masud Molla   +2 more
doaj   +2 more sources

On 2-Absorbing Primary Hyperideals Of Multiplicative Hyperrings

open access: green, 2018
Primary hyperideals have been introduced and studied in multiplicative hyperrings. In this paper, we intend to study extensively primary hyperideals of multiplicative hyperrings with absorbing zero and prove some results regarding them. Also, we describe Cu- ideals of multiplicative hyperrings which are particular classes of hyperideals.
Neslihan Süzen, Gürsel Yeşіlot
openalex   +4 more sources

(u,v)-absorbing (prime) hyperideals in commutative multiplicative hyperrings [PDF]

open access: green
In this paper, we will introduce the notion of (u,v)-absorbing hyperideals in multiplicative hyperrings and we will show some properties of them. Then we extend this concept to the notion of (u,v)-absorbing prime hyperideals and thhen we will give some ...
Anbarloei, Mahdi
core   +2 more sources

$(u,v)$-absorbing primary hyperideals in multiplicative hyperrings [PDF]

open access: green
The present paper addresses the notion of $(u,v)$-absorbing primary hyperideals in commutative multiplicative hyperrings.
Mahdi Anbarloei
openalex   +3 more sources

Fuzzy γ-hyperideals in γ-hypersemirings by using triangular norms. [PDF]

open access: yesScientificWorldJournal, 2014
The concept of Γ‐semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ‐semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub‐Γ‐semihyperrings as well as triangular fuzzy Γ‐hyperideals of a Γ‐semihyperring, and we study a few results in this ...
Ersoy BA   +3 more
europepmc   +2 more sources

Some Properties of Multiplicative Hv-Rings of Polynomials over Multiplicative Hyperrings [PDF]

open access: goldAlgebra, Volume 2014, Issue 1, 2014., 2014
The set of all polynomials R[x], over a multiplicative hyperring (R, + , ·), form a commutative group with respect to the component‐wise addition (+) of the polynomials. For polynomials f, g in R[x], f*g is a set of polynomials whose (k + 1)th components k∈N∪0 are chosen from the set ∑i+j=kai · bj, where ai and bj are the (i + 1)th and the (j + 1)th ...
Utpal Dasgupta
openalex   +2 more sources

Prime hyperideal in multiplicative ternary hyperrings

open access: closedInternational Journal of Algebra, 2016
Md. Salim, Tapan Kumar Dutta
openalex   +3 more sources

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.
K. Schilling   +3 more
openaire   +5 more sources

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