A CHARACTERIZATION OF UNIT REGULAR RINGS

By V. Camillo, Dinesh Khurana. 2001

117 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/db1fa529e75d50228b3475acebc80221860402aa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. A. Diesl
2. Gautam Borooah
3. Thomas J. Dorsey
4. Yiqiang Zhou
5. Zhou Wang
6. Jianlong Chen
7. Lia Vaš
8. W. K. Nicholson

In Geometry and Topology

1. A. Diesl
2. Yiqiang Zhou
3. Gautam Borooah
4. Thomas J. Dorsey
5. Lia Vaš
6. Zhou Wang
7. W. K. Nicholson
8. Jianlong Chen

Citations in the corpus

• -Clean Rings; Some Clean and Almost Clean Baer -rings and von Neumann Algebras (2010, background): “In [4], the authors characterize unit-regular rings as clean rings in which every element a can be decomposed as the sum of a unit u and an idempotent e with aR∩eR = 0 (Camillo-Khurana Theorem).”
• Strongly clean triangular matrix rings over local rings (2007, background): “Camillo and Khurana [1] proved that for rings”
• Clean general rings (2005, background): “Examples include every semiperfect ring [4] and every unit regular ring [3].”
• On two open problems about strongly clean rings (2004, background): “By (1), (2) and (3), we obtain 73a(2) - 73a + 18 = 0.”