f-CLEAN RINGS AND RINGS HAVING MANY FULL ELEMENTS Li, Bingjun; Feng, Lianggui;
An associative ring R with identity is called a clean ring if every element of R is the sum of a unit and an idempotent. In this paper, we introduce the concept of f-clean rings. We study various properties of f-clean rings. Let C
full elements;f-clean rings;matrix rings;rings having any full elements;
D. D. Anderson and V. P. Camillo, Commutative rings whose elements are a sum of a unit and idempotent, Comm. Algebra 30 (2002), no. 7, 3327–3336.
P. Ara, The exchange property for purely infinite simple rings, Proc. Amer. Math. Soc. 132 (2004), no. 9, 2543–2547.
P. Ara, K. R. Goodearl, and E. Pardo, $K_0$ of purely infinite simple regular rings, KTheory 26 (2002), no. 1, 69–100.
V. P. Camillo and D. Khurana, A characterization of unit regular rings, Comm. Algebra 29 (2001), no. 5, 2293–2295.
V. P. Camillo and H. P. Yu, Exchange rings, units and idempotents, Comm. Algebra 22 (1994), no. 12, 4737–4749.
H. Chen, Morita contexts with many units, Comm. Algebra 30 (2002), no. 3, 1499–1512.