Rings with involution whose symmetric elements are central
| dc.contributor.author | Lim, Taw Pin | |
| dc.date.accessioned | 2014-08-14T07:12:38Z | |
| dc.date.available | 2014-08-14T07:12:38Z | |
| dc.date.issued | 1980-1-1 | |
| dc.date.updated | 2014-08-14T07:12:38Z | |
| dc.description.abstract | In a ring R with involution whose symmetric elements S are central, the skew-symmetric elements K form a Lie algebra over the commutative ring S. The classification of such rings which are 2-torsion free is equivalent to the classification of Lie algebras K over S equipped with a bilinear form f that is symmetric, invariant and satisfies [[x,y],z]=f(y,z)x−f(z,x)y. If S is a field of char ≠2, f≠0 and dimK>1 then K is a semisimple Lie algebra if and only if f is nondegenerate. Moreover, the derived algebra K′ is either the pure quaternions over S or a direct sum of mutually orthogonal abelian Lie ideals of dim≤2. | |
| dc.description.version | Peer Reviewed | |
| dc.identifier.citation | Taw Pin Lim, “Rings with involution whose symmetric elements are central,” International Journal of Mathematics and Mathematical Sciences, vol. 3, no. 2, pp. 247-253, 1980. doi:10.1155/S0161171280000178 | |
| dc.identifier.doi | http://dx.doi.org/10.1155/S0161171280000178 | |
| dc.identifier.uri | http://hdl.handle.net/1993/23801 | |
| dc.language.rfc3066 | en | |
| dc.rights | open access | en_US |
| dc.rights.holder | Copyright © 1980 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | |
| dc.title | Rings with involution whose symmetric elements are central | |
| dc.type | Journal Article |
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