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E-solid rings, strongly IC rings and the Jacobson radical.
- Source :
-
Journal of Algebra & Its Applications . Jul2024, Vol. 23 Issue 8, p1-10. 10p. - Publication Year :
- 2024
-
Abstract
- In this paper, we prove that the well-known semigroup property of being E-solid is actually equivalent to abelianness modulo the Jacobson radical in the case of (possibly non-unital) non-regular rings. We also give various other characterizations of such rings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *JACOBSON radical
*IDEMPOTENTS
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 23
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 178020478
- Full Text :
- https://doi.org/10.1142/S0219498825501518