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Rings additively generated by periodic elements.
- Source :
-
Journal of Algebra & Its Applications . Jul2024, p1. 16p. - Publication Year :
- 2024
-
Abstract
- In the this paper, as a generalization of the classical periodic rings, we explore those rings whose elements are additively generated by two (or more) periodic elements by calling them <italic>additively periodic</italic>. We prove that, in some major cases, additively periodic rings remain periodic too. This includes, for instance, algebraic algebras, group rings, and matrix rings over commutative rings. Moreover, we also obtain some independent results for the new class of rings. For example, the triangular matrix rings retain that property. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIVISION rings
*GROUP rings
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 178405465
- Full Text :
- https://doi.org/10.1142/s0219498825503220