Witt's theorem in abstract geometric algebra

dc.contributor.authorNtumba, Patrice P.
dc.contributor.emailpatrice.ntumba@up.ac.zaen_US
dc.date.accessioned2011-08-08T08:49:35Z
dc.date.available2011-08-08T08:49:35Z
dc.date.issued2010
dc.description.abstractIn 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.urihttp://www.springer.com/mathematics/journal/11587en_US
dc.identifier.citationNtumba, PP 2010, 'Witt's theorem in abstract geometric algebra', Ricerche di Matematica, vol. 59, no. 1, pp. 109-124.en
dc.identifier.issn0035-5038 (print)
dc.identifier.issn1827-3491 (online)
dc.identifier.urihttp://hdl.handle.net/2263/17027
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rights© Università degli Studi di Napoli "Federico II" 2011en_US
dc.subjectSheaf of A-radicalsen
dc.subjectOrthosymmetric A-bilinear formsen
dc.subjectStrongly isotropic (non-isotropic) sub-A-modulesen
dc.subjectWeakly isotropic (non-isotropic) sub-A-modulesen
dc.subjectFree subpresheaves of modulesen
dc.subjectPre-hyperbolic free sub-A-modulesen
dc.subject.lcshSheaf theoryen
dc.subject.lcshAlgebra, Abstracten
dc.titleWitt's theorem in abstract geometric algebraen
dc.typePostprint Articleen

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