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When is a matrix a sum of involutions or tripotents?
- Source :
- Communications in Algebra; 2021, Vol. 49 Issue 4, p1717-1724, 8p
- Publication Year :
- 2021
-
Abstract
- We give the necessary and sufficient conditions for an n × n matrix over an integral domain to be a sum of involutions and, respectively, a sum of tripotents. We determine the integral domains over which every n × n matrix is a sum of involutions and, respectively, a sum of tripotents. We further determine the commutative reduced rings over which every n × n matrix is a sum of two tripotents. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 49
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 149173233
- Full Text :
- https://doi.org/10.1080/00927872.2020.1849249