Zobrazeno 1 - 10
of 314
pro vyhledávání: '"nil-clean ring"'
A ring R is Yaqub nil-clean if for any a\in R, a-a^3 or a+a^3 is nilpotent for all a\in R. We prove that a ring R is Yaqub nil-clean if and only if for any a\in R, there exists some e^3=e\in R, such that a-e or a+3e is nilpotent and ae=ea.
Externí odkaz:
http://arxiv.org/abs/1704.00213
Autor:
Rand Alneamy, Nazar Shuker
Publikováno v:
Al-Rafidain Journal of Computer Sciences and Mathematics, Vol 18, Iss 1, Pp 7-9 (2024)
In this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute. Such rings fundamental properties are given
Externí odkaz:
https://doaj.org/article/74d1e8f2762d4e9e99b35edc8d9c0819
Autor:
P. Prabakara, Florentin Smarandache
Publikováno v:
Neutrosophic Sets and Systems, Vol 59, Pp 296-305 (2023)
A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element a
Externí odkaz:
https://doaj.org/article/0819190594bc4a22bd4e0a4505391011
Autor:
Bisht, Nitin
Publikováno v:
Palestine Journal of Mathematics; 2023, Vol. 12 Issue 3, p1-6, 6p
Autor:
Viswanathan Saravanan1 analysissaravanan@gmail.com, Chelliah Selvaraj1 selvavly@yahoo.com
Publikováno v:
Southeast Asian Bulletin of Mathematics. 2024, Vol. 48 Issue 1, p111-120. 10p.
Autor:
Danchev, Peter1 (AUTHOR) pvdanchev@yahoo.com, Javan, Arash2 (AUTHOR) a.darajavan@gmail.com, Moussavi, Ahmad2 (AUTHOR) moussavi.a@gmail.com
Publikováno v:
Journal of Algebra & Its Applications. Nov2024, p1. 21p.
Autor:
Shervin Sahebi, Mina Jahandar
Publikováno v:
Journal of Linear and Topological Algebra, Vol 1, Iss 2 (2014)
A ring $R$ is uniquely (nil) clean in case for any $a\in R$ there exists a uniquely idempotent $e\in R$ such that $a-e$ is invertible (nilpotent). Let $C=\small\left(\begin{array}{cc}A & V \\ W & B\end{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doajarticles::535919a23d8d231c3b501e21f85571c3
http://jlta.iauctb.ac.ir/index.php/jlta/article/view/15
http://jlta.iauctb.ac.ir/index.php/jlta/article/view/15
Publikováno v:
Czechoslovak Mathematical Journal; Apr2024, Vol. 74 Issue 1, p87-94, 8p