Mathematical events in Turkey
There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.
Nikolai Ivanovich Lobachevsky
Atılım University Mathematics Department Seminars
Very Cleanness of Generalized Matrices
Yosum Kurtulmaz
Bilkent University, Turkey
Özet :
An element $a$ in a ring $R$ is very clean in case there exists an idempotent $e\in R$ such that $ae = ea$ and either $a- e$ or $a+ e$ is invertible. An element $a$ in a ring $R$ is very $J$-clean provided that there exists an idempotent $e\in R$ such that $ae =ea$ and either $a-e\in J(R)$ or $a + e\in J(R)$. Let $R$ be a local ring, and let $s\in C(R)$. We prove that $A\in K_s(R)$ is very clean if and only if $A\in U(K_s(R))$; $I\pm A\in U(K_s(R))$ or $A\in K_s(R)$ is very J-clean.
| Tarih | : | 06.12.2017 | |
| Saat | : | 15:40 | |
| Yer | : | FEF 404 | |
| Dil | : | English |
