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On fusible rings.
- Source :
-
Communications in Algebra . 2023, Vol. 51 Issue 9, p3764-3767. 4p. - Publication Year :
- 2023
-
Abstract
- A ring R is called left fusible if every nonzero element is the sum of a left zero-divisor and a non-left zero-divisor, and R is called uniquely left fusible if for any a ∈ R there exists a unique left zero-divisor z such that a – z is non-left zero-divisor. We show that a left fusible ring R is uniquely left fusible if and only if either R is a domain or R has a unique non-left zero-divisor element. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 51
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 164491309
- Full Text :
- https://doi.org/10.1080/00927872.2023.2187642