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SUMS OF UNITS IN RINGS.

Authors :
GROVER, HARPREET K.
WANG, ZHOU
KHURANA, DINESH
CHEN, JIANLONG
LAM, T. Y.
Source :
Journal of Algebra & Its Applications; Feb2014, Vol. 13 Issue 1, p-1, 10p
Publication Year :
2014

Abstract

In this paper, we study rings that are additively generated by units. We prove that if the identity in a ring with stable range one is a sum of two units, then every (von Neumann) regular element is a sum of two units. It follows that every element in a unit-regular ring is a sum of two units if the identity is a sum of two units. Also, if the identity of a strongly π-regular ring is a sum of two units, then every element is a sum of three units. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02194988
Volume :
13
Issue :
1
Database :
Complementary Index
Journal :
Journal of Algebra & Its Applications
Publication Type :
Academic Journal
Accession number :
89802723
Full Text :
https://doi.org/10.1142/S0219498813500722