Reflexivity of orthogonality in A-modules

dc.contributor.authorNtumba, Patrice P.
dc.contributor.emailpatrice.ntumba@up.ac.zaen_US
dc.date.accessioned2014-10-02T09:36:06Z
dc.date.issued2014-04
dc.description.abstractIn this paper, as part of a project initiated by A. Mallios consisting of exploring new horizons for Abstract Differential Geometry (`a la Mallios), [5, 6, 7, 8], such as those related to the classical symplectic geometry, we show that essential results pertaining to biorthogonality in pairings of vector spaces do hold for biorthogonality in pairings of A-modules. We single out that orthogonality is reflexive for orthogonally convenient pairings of free A-modules of finite rank, governed by non-degenerate A-morphisms, and where A is a PID (Corollary 3.8). For the rank formula (Corollary 3.3), the algebra sheaf A is assumed to be a PID. The rank formula relates the rank of an A-morphism and the rank of the kernel (sheaf) of the same A-morphism with the rank of the source free A-module of the A-morphism concerned.en_US
dc.description.embargo2015-12-30
dc.description.librarianhb2014en_US
dc.description.urihttp://www.tandfonline.com/loi/tqma20en_US
dc.identifier.citationPatrice P. Ntumba (2014) Reflexivity of orthogonality in A-modules, Quaestiones Mathematicae, 37:2, 231-247, DOI: 10.2989/16073606.2013.779992.en_US
dc.identifier.issn0379-9468 (print)
dc.identifier.issn1727-933X (online)
dc.identifier.other10.2989/16073606.2013.779992
dc.identifier.urihttp://hdl.handle.net/2263/42203
dc.language.isoenen_US
dc.publisherTaylor and Francisen_US
dc.rights© 2014 NISC (Pty) Ltd. Taylor and Francis. This is an electronic version of an article published in Quaestiones Mathematicae, vol. 37, no. 2, pp.231-247, 2014. doi : 10.2989/16073606.2013.779992. Quaestiones Mathematicae is available online at : http://www.tandfonline.com/loi/tqma20.en_US
dc.subjectConvenient A-modulesen_US
dc.subjectQuotient A-modulesen_US
dc.subjectFree subpresheafen_US
dc.subjectOrthogonally convenient A-pairingsen_US
dc.titleReflexivity of orthogonality in A-modulesen_US
dc.typePostprint Articleen_US

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