JOURNAL BROWSE
Search
Advanced SearchSearch Tips
f-CLEAN RINGS AND RINGS HAVING MANY FULL ELEMENTS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
f-CLEAN RINGS AND RINGS HAVING MANY FULL ELEMENTS
Li, Bingjun; Feng, Lianggui;
  PDF(new window)
 Abstract
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
 Keywords
full elements;f-clean rings;matrix rings;rings having any full elements;
 Language
English
 Cited by
 References
1.
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. crossref(new window)

2.
P. Ara, The exchange property for purely infinite simple rings, Proc. Amer. Math. Soc. 132 (2004), no. 9, 2543–2547. crossref(new window)

3.
P. Ara, K. R. Goodearl, and E. Pardo, $K_0$ of purely infinite simple regular rings, KTheory 26 (2002), no. 1, 69–100.

4.
V. P. Camillo and D. Khurana, A characterization of unit regular rings, Comm. Algebra 29 (2001), no. 5, 2293–2295. crossref(new window)

5.
V. P. Camillo and H. P. Yu, Exchange rings, units and idempotents, Comm. Algebra 22 (1994), no. 12, 4737–4749. crossref(new window)

6.
H. Chen, Morita contexts with many units, Comm. Algebra 30 (2002), no. 3, 1499–1512. crossref(new window)

7.
H. Chen, Generalized stable regular rings, Comm. Algebra 31 (2003), no. 10, 4899–4910. crossref(new window)

8.
H. Chen, Units, idempotents, and stable range conditions, Comm. Algebra 29 (2001), no. 2, 703–717. crossref(new window)

9.
H. Chen, On stable range conditions, Comm. Algebra 28 (2000), no. 8, 3913–3924. crossref(new window)

10.
H. Chen and F. Li, Rings with many unit-regular elements, Chinese J. Contemp. Math. 21 (2000), no. 1, 33–38.

11.
K. R. Goodearl and P. Mental, Stable range one for rings with many units, J. Pure Appl. Algebra 54 (1988), no. 2-3, 261–287. crossref(new window)

12.
A. Haghany, Hopficity and co-Hopficity for Morita contexts, Comm. Algebra 27 (1999), no. 1, 477–492. crossref(new window)

13.
J. Han and W. K. Nicholson, Extensions of clean rings, Comm. Algebra 29 (2001), no. 6, 2589–2595. crossref(new window)

14.
W. K. Nicholson, Lifting idempotents and exchange rings, Trans. Amer. Math. Soc. 229 (1977), 269–278. crossref(new window)

15.
W. K. Nicholson, Strongly clean rings and Fitting's lemma, Comm. Algebra 27 (1999), no. 8, 3583–3592. crossref(new window)

16.
W. K. Nicholson and Y. Zhou, Rings in which elements are uniquely the sum of an idempotent and a unit, Glasg. Math. J. 46 (2004), no. 2, 227–236. crossref(new window)

17.
G. Xiao and W. Tong, n-clean rings and weakly unit stable range rings, Comm. Algebra 33 (2005), no. 5, 1501–1517. crossref(new window)

18.
H. Yu, On quasi-duo rings, Glasgow Math. J. 37 (1995), no. 1, 21–31. crossref(new window)

19.
Y. Ye, Semiclean rings, Comm. Algebra 31 (2003), no. 11, 5609–5625. crossref(new window)