Zobrazeno 1 - 6
of 6
pro vyhledávání: '"r-clean rings"'
Autor:
Saravanan Viswanathan
Publikováno v:
Ratio Mathematica, Vol 48, Iss 0 (2023)
In this article, we introduce the concept of feebly r-clean ring and feebly ∗-r-clean ring. A ring R is defined to be feebly r-clean, if every element a can be written as a = r + e − f, where u is a regular and e, f are orthogonal idempotents and
Externí odkaz:
https://doaj.org/article/a4ad74898ab84f29afc366f6671e0cb0
Autor:
Danchev, Peter Vasilevich
Publikováno v:
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 20, Iss 2, Pp 154-160 (2020)
We introduce and investigate D-clean and D-nil-clean rings as well as some other closely related symmetric versions of cleanness and nil-cleanness. A comprehensive structural characterization is given for these symmetrically clean and symmetrically n
Externí odkaz:
https://doaj.org/article/e080821bd2b34783925c6c13a52565bd
Autor:
P. V Danchev
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 27, Iss 1, Pp 28-35 (2019)
We introduce the notions of left and right cleanness and nil cleanness in rings showing their close relationships with the classical concepts of cleanness and nil cleanness. Specifically, it is proved that strongly clean rings are both L-clean and R-
Externí odkaz:
https://doaj.org/article/a06e92be741b4295a6eff057921d9fb4
Autor:
Shaimaa S. Esa, Hewa S. Faris
Publikováno v:
Science Journal of University of Zakho, Vol 5, Iss 3, Pp 285-287 (2017)
In this paper we introduce the concept of -clean ring and we discuss some relations between - clean ring and other rings with explaining by some examples. Also, we give some basic properties of it.
Externí odkaz:
https://doaj.org/article/c56865facd104f9689696583dd2c6226
Autor:
Peter V. Danchev
Publikováno v:
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 20, Iss 2, Pp 154-160 (2020)
We introduce and investigate D-clean and D-nil-clean rings as well as some other closely related symmetric versions of cleanness and nil-cleanness. A comprehensive structural characterization is given for these symmetrically clean and symmetrically n
Autor:
Danchev Peter Vasilievich
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 27, Iss 1, Pp 28-35 (2019)
We introduce the notions of left and right cleanness and nil cleanness in rings showing their close relationships with the classical concepts of cleanness and nil cleanness. Specifically, it is proved that strongly clean rings are both L-clean and R-