Differential Brauer Monoids
Rings and Algebras
2023-03-16 v2 Commutative Algebra
Abstract
The differential Brauer monoid of a differential commutative ring R s defined. Its elements are the isomorphism classes of differential Azumaya R algebras with operation from tensor product subject to the relation that two such algebras are equivalent if matrix algebras over them are differentially isomorphic. The Bauer monoid, which is a group, is the same thing without the differential requirement. The differential Brauer monoid is then determined from the Brauer monoids of R and its ring of constants and the submonoid whose underlying Azumaya algebras are matrix rings.
Cite
@article{arxiv.2009.04415,
title = {Differential Brauer Monoids},
author = {Andy R. Magid},
journal= {arXiv preprint arXiv:2009.04415},
year = {2023}
}