Witt's theorem in abstract geometric algebra
dc.contributor.author | Ntumba, Patrice P. | |
dc.contributor.email | patrice.ntumba@up.ac.za | en_US |
dc.date.accessioned | 2011-08-08T08:49:35Z | |
dc.date.available | 2011-08-08T08:49:35Z | |
dc.date.issued | 2010 | |
dc.description.abstract | In an earlier paper of the author, a version of the Witt’s theorem was obtained within a specific subcategory of the category of A-modules: the full subcat-egory of convenient A-modules. A further investigation yields two more versions of the Witt’s theorem by revising the notion of convenient A-modules. For the first version, the A-bilinear form involved is either symmetric or antisymmetric, and the two isometric free sub-A-modules, the isometry between which may extend to an isom-etry of the non-isotropic convenient A-module concerned onto itself, are assumed pre-hyperbolic. On the other hand, for the second version, the A-bilinear form defined on the non-isotropic convenient A-module involved is set to be symmetric, and the two isometric free sub-A-modules, whose orthogonals are to be proved isometric, are assumed strongly non-isotropic and disjoint. | en |
dc.description.uri | http://www.springer.com/mathematics/journal/11587 | en_US |
dc.identifier.citation | Ntumba, PP 2010, 'Witt's theorem in abstract geometric algebra', Ricerche di Matematica, vol. 59, no. 1, pp. 109-124. | en |
dc.identifier.issn | 0035-5038 (print) | |
dc.identifier.issn | 1827-3491 (online) | |
dc.identifier.uri | http://hdl.handle.net/2263/17027 | |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.rights | © Università degli Studi di Napoli "Federico II" 2011 | en_US |
dc.subject | Sheaf of A-radicals | en |
dc.subject | Orthosymmetric A-bilinear forms | en |
dc.subject | Strongly isotropic (non-isotropic) sub-A-modules | en |
dc.subject | Weakly isotropic (non-isotropic) sub-A-modules | en |
dc.subject | Free subpresheaves of modules | en |
dc.subject | Pre-hyperbolic free sub-A-modules | en |
dc.subject.lcsh | Sheaf theory | en |
dc.subject.lcsh | Algebra, Abstract | en |
dc.title | Witt's theorem in abstract geometric algebra | en |
dc.type | Postprint Article | en |