Back to Search
Start Over
Is an irng singly generated as an ideal?
- Source :
- Int. J. Algebra Comp. 22 No. 4 (2012)
- Publication Year :
- 2011
-
Abstract
- Recall that a rng is a ring which is possibly non-unital. In this note, we address the problem whether every finitely generated idempotent rng (abbreviated as irng) is singly generated as an ideal. It is well-known that it is the case for a commutative irng. We prove here it is also the case for a free rng on finitely many idempotents and for a finite irng. A relation to the Wiegold problem for perfect groups is discussed.<br />Comment: 5 pages, no figures
- Subjects :
- Mathematics - Rings and Algebras
Mathematics - Group Theory
16A99, 20F05
Subjects
Details
- Database :
- arXiv
- Journal :
- Int. J. Algebra Comp. 22 No. 4 (2012)
- Publication Type :
- Report
- Accession number :
- edsarx.1112.1802
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1142/S0218196712500361