| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Mem Univ Newfoundland, St John, NF A1C 5S7 - Canada
[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05314970 Sao Paulo - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES; v. 52, n. 2, p. 245-256, JUN 2009. |
| Web of Science Citations: | 0 |
| Abstract | |
Let L be an RA loop, that is, a loop whose loop ring over any coefficient ring R is an alternative, but not associative, ring. Let l bar right arrow l(theta) denote an involution on L and extend it linearly to the loop ring RL. An element alpha is an element of RL is symmetric if alpha(theta) = alpha and skew-symmetric if alpha(theta) = -alpha. In this paper, we show that there exists an involution making the symmetric elements of RL commute if and only if the characteristic of R is 2 or theta is the canonical involution on L, and an involution making the skew-symmetric elements of RL commute if and only if the characteristic of R is 2 or 4. (AU) | |
| FAPESP's process: | 05/60411-8 - Edgar George Goodaire | Memorial University of Newfoundland - Canada |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |