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A Wedderburn decomposition for certain generalized right alternative algebras
| Content Provider | Semantic Scholar |
|---|---|
| Author | Smith, Harry F. |
| Copyright Year | 1976 |
| Abstract | Finite-dimensional nonassociative algebras are considered which satisfy certain subsets of the following identities: (1) (x,x,x) = 0, (2) (wx,y, z) + (w, x, [y, z]) = w(x, y, z) + (w,y, z) x, (3 ) (w, x * y, z) = x (w,y, z) + y (w, x, z), (4)(x,y, z) + (y, z, x) + (z, x,y) = 0. It is first observed that nil algebras satisfying (1) and (2) are solvable. The standard Wedderburn principal theorem is then established both for algebras satisfying (1), (2) and (3) and for algebras which satisfy (2) and (4). Throughout it is assumed that the base fields have characteristic different from 2 and 3. |
| Starting Page | 1 |
| Ending Page | 7 |
| Page Count | 7 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-1976-0419540-0 |
| Volume Number | 58 |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1976-058-01/S0002-9939-1976-0419540-0/S0002-9939-1976-0419540-0.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9939-1976-0419540-0 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
