| Full text | |
| Author(s): |
Goodaire, Edgar G.
;
Milies, Cesar Polcino
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 5, n. 4, p. 537-548, AUG 2006. |
| Web of Science Citations: | 1 |
| Abstract | |
Let L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but not associative, ring. Let f : L ->[+/- 1] be a homomorphism and for alpha = Sigma alpha(l)l in the integral loop ring ZL, define alpha(f) = Sigma alpha(l)f(l)l(-1). A unit u is an element of ZL is said to be f-unitary if u(f) = +/- u(-1). The set U-f (ZL) of all f-unitary units is a subloop of U(ZL), the loop of all units in ZL. In this paper, we find necessary and sufficient conditions for U-f (ZL) to be normal in U(ZL). (AU) | |
| FAPESP's process: | 00/07291-0 - Group rings and related topics |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 04/00866-9 - Edgar George Goodaire | Memorial University Newfoundland - Canada |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |