Results 1 to 6 of about 6 (6)

On (1,2)-absorbing primary ideals and uniformly primary ideals with order ≤ 2

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
This paper introduces a subset of the set of 1-absorbing primary ideals introduced in [3]. An ideal I of a ring R is (1,2)-absorbing primary if, whenever non-unit elements α, β, γ ∈ R with αβγ ∈ I,then αβ ∈ I or γ2 ∈ I.
Alhazmy Khaled, Almahdi Fuad Ali Ahmed, Bouba El Mehdi, Tamekkante Mohammed   +3 more
doaj   +1 more source

A Study on Commutative Elliptic Octonion Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of
Sürekçi Arzu Cihan, Güngör Mehmet Ali   +1 more
doaj   +1 more source

On 2-nil Primary Ideals of Commutative Rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The present article addresses the concept of 2-nil primary ideals in commutative rings, expanding the comprehension of ideal categories such as 2-nil, 2-absorbing ideals, and quasi-primary ideals. The study explores the characteristics and connections of
Qaralleh Izzat, Al-Kaseasbeh Saba, Celikel Ece Yetkin   +2 more
doaj   +1 more source

Zero-Dimensionality and Serre Rings [PDF]

, 2004
2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R is expressible as a directed union of Artinian ...
Karim, D.
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On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite.
Mahdou Najib, Oubouhou El Houssaine, Celikel Ece Yetkin   +2 more
doaj   +1 more source

The zero divisor graph of 2 x 2 matrices over a field

, 2016
A zero divisor graph, Γ(R), is formed from a ring R by having each element of Z(R)\{0} to be a vertex in the graph and having two vertices u and v adjacent if the corresponding elements from the ring are nonequal and have product equal to zero.
Ashrafi, Ali Reza, Tadayyonfar, Adel
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