Results 211 to 220 of about 273,234 (253)

Invo strongly 2 - Clean rings

AIP Conference Proceedings
Zeina M. Hamady, N. Shuker
semanticscholar   +2 more sources

SIFAT-SIFAT RING NIL BERSIH-KUAT (THE PROPERTIES OF STRONGLY NIL CLEAN RINGS)

Jurnal Matematika Komputasi dan Statistika, 2023
Tujuan dari penelitian ini adalah untuk mengetahui sifat-sifat strongly nil clean pada elemen khusus dan ring. Juga untuk mengetahui hubungan antara sifat strongly nil clean dengan ring clean, dan himpunan khusus dalam suatu ring.Penelitian ini dilakukan
Widia Ningsih, Arman, N. Muhtar, Jufra, La Gubu   +4 more
semanticscholar   +1 more source

Nil-clean and strongly nil-clean rings

Journal of Pure and Applied Algebra, 2016
Let \(a\) be an element of a ring \(R\) with identity. Then \(a\) is called \textit{clean} if \(a\) can be written as \(a=e+b\) where \(e=e^2\in R\) is an idempotent and \(b\in R\) is a unit. If this can be done in such a way that \(eb=be\), then \(a\) is called \textit{strongly clean}.
Zhou, Yiqiang, Kosan, MUHAMMET TAMER, Wang, Zhou   +2 more
openaire   +2 more sources

π -Clean and strongly π -clean rings

Measurement, 2017
Abstract In this paper, π-regular (resp. strongly π-regular) and idempotent elements in a ring is used to define π-clean (resp. strongly π-clean) rings. A ring is called π-clean (resp. strongly π-clean) if each of its elements is the sum of a π-regular (resp. strongly π-regular) and an idempotent element.
SH.A. Safari Sabet, M. Farmani, M. Karami   +2 more
openaire   +1 more source

Strongly unit nil-clean rings

Journal of Algebra and Its Applications, 2017
An element in a ring is strongly nil-clean, if it is the sum of an idempotent and a nilpotent element that commute. A ring [Formula: see text] is strongly unit nil-clean, if for any [Formula: see text] there exists a unit [Formula: see text], such that [Formula: see text] is strongly nil-clean.
Chen, Huanyin, Sheibani, Marjan
openaire   +1 more source

On some extensions of strongly unit nil-clean rings

Journal of Algebra and its Applications
An element $x \in R$ is considered (strongly) nil-clean if it can be expressed as the sum of an idempotent $e \in R$ and a nilpotent $b \in R$ (where $eb = be$).
Ruhollah Barati
semanticscholar   +1 more source

On m-clean and strongly m-clean rings

Communications in Algebra, 2020
In this paper, we introduce the notions of m-clean and strongly m-clean ring as generalizations of clean ring and strongly clean ring respectively. We prove that if a ring R is m-clean then the matrix ring is also m-clean.
S. Purkait, T. K. Dutta, S. Kar
semanticscholar   +1 more source

On strongly m-clean rings and m-semiperfect rings

, 2020
In this article, we continue the study of strongly m-clean ring which we introduced in the paper “On m-clean and strongly m-clean rings” (Purkait et al. 2020). Mainly, we characterize strongly m-clean ring in terms of m-semiperfect ring.
S. Purkait
semanticscholar   +1 more source

Strongly weakly nil-clean rings

Journal of Algebra and Its Applications, 2017
A ring [Formula: see text] is strongly weakly nil-clean if every element in [Formula: see text] is the sum or difference of a nilpotent and an idempotent that commutes. We prove, in this paper, that a ring [Formula: see text] is strongly weakly nil-clean if and only if for any [Formula: see text], there exists an idempotent [Formula: see text] such ...
Chen, Huanyin, Sheibani, Marjan
openaire   +2 more sources

Rings Whose Non-Invertible Elements are Strongly Weakly Nil-Clean

Journal of Algebra and its Applications
The target of the present work is to give a new insight in the theory of strongly weakly nil-clean rings, recently defined by Kosan and Zhou in the Front. Math. China (2016) and further explored in detail by Chen-Sheibani in the J. Algebra Appl.
P. Danchev, Mina Doostalizadeh, O. Hasanzadeh, A. Javan, A. Moussavi   +4 more
semanticscholar   +1 more source