Abstract
A ring R is called semiregular if R=J is regular and idem-potents lift modulo J, where J denotes the Jacobson radical of R. We give some characterizations of rings R such that idempotents lift modulo J, and R=J satises one of the following conditions: (one-sided) unit-regular, strongly regular, (unit, strongly, weakly) π-regular.
| Original language | English |
|---|---|
| Pages (from-to) | 605-622 |
| Number of pages | 18 |
| Journal | Journal of the Korean Mathematical Society |
| Volume | 49 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2012 |
Keywords
- Idempotent lifting
- Semi (strongly) π-regular ring
- Semi unit-regular ring
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