Journal article
A hermitian analogue of the Morita theorems
Communications in algebra, Vol.45(6), pp.2281-2295
06/03/2017
DOI: 10.1080/00927872.2016.1233196
Abstract
Let F
1
be an equivalence of type I between two categories of modules with hermitian forms. In other words, suppose F is an equivalence between the two underlying categories of modules, and F
1
is an equivalence, given by
and F
1
(f) = F(f), such that the non-singularity of a free hyperbolic module of hyperbolic rank 1 is preserved by F
1
. Then every equivalence generated by a set of hermitian Morita equivalence data is of type I and every equivalence of type I arises from a set of hermitian Morita equivalence data.
Details
- Title: Subtitle
- A hermitian analogue of the Morita theorems
- Creators
- Bhanumati Dasgupta - University of IowaSoura Dasgupta - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Communications in algebra, Vol.45(6), pp.2281-2295
- Publisher
- Taylor & Francis
- DOI
- 10.1080/00927872.2016.1233196
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Grant note
- N00014-13-1-0202 / Office of Naval Research CCF-1302456,CNS-1329657,EPS-1101284 / Office of the Director
- Language
- English
- Date published
- 06/03/2017
- Academic Unit
- Electrical and Computer Engineering; Mathematics
- Record Identifier
- 9984197308902771
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