dc.contributor.author |
Ntumba, Patrice P.
|
|
dc.date.accessioned |
2014-10-02T09:36:06Z |
|
dc.date.issued |
2014-04 |
|
dc.description.abstract |
In 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.embargo |
2015-12-30 |
|
dc.description.librarian |
hb2014 |
en_US |
dc.description.uri |
http://www.tandfonline.com/loi/tqma20 |
en_US |
dc.identifier.citation |
Patrice 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.issn |
0379-9468 (print) |
|
dc.identifier.issn |
1727-933X (online) |
|
dc.identifier.other |
10.2989/16073606.2013.779992 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/42203 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
Taylor and Francis |
en_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.subject |
Convenient A-modules |
en_US |
dc.subject |
Quotient A-modules |
en_US |
dc.subject |
Free subpresheaf |
en_US |
dc.subject |
Orthogonally convenient A-pairings |
en_US |
dc.title |
Reflexivity of orthogonality in A-modules |
en_US |
dc.type |
Postprint Article |
en_US |