MMN-817
$g(x)$-full clean rings
Abstract
Let C(R) denote the center of a ring R and g(x) be a poly-
nomial of ring C(R)[x]. An element r ∈ R is called “g(x)-clean” if
r = s + u where g(s) = 0 and u is a unit of R and R is g(x)-clean if
every element is g(x)-clean. In this paper, we introduce the concept of
g(x)-full clean rings and study various properties of them.
Vol. 16 (2015), No. 2, pp. 657-666