ArticleOriginal scientific text
Title
Relative determinant of a bilinear module
Authors 1
Affiliations
- Faculty of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland
Abstract
The aim of the paper is to generalize the (ultra-classical) notion of the determinant of a bilinear form to the class of bilinear forms on projective modules without assuming that the determinant bundle of the module is free. Successively it is proved that this new definition preserves the basic properties, one expects from the determinant. As an example application, it is shown that the introduced tools can be used to significantly simplify the proof of a recent result by B. Rothkegel.
Keywords
determinant, bilinear forms, projective modules
Bibliography
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Pages:
203-212
Main language of publication
English
Published
2014
DOI: 10.7151/dmgaa.1221
Exact and natural sciences