Modules, comodules and cotensor products over Frobenius algebras
| dc.creator | Abrams, Lowell | |
| dc.date | 1998-06-08 | |
| dc.date | 1998-10-28 | |
| dc.date.accessioned | 2026-07-07T05:24:58Z | |
| dc.date.available | 2026-07-07T05:24:58Z | |
| dc.description | We characterize noncommutative Frobenius algebras A in terms of the existence of a coproduct which is a map of left A^e-modules. We show that the category of right (left) comodules over A, relative to this coproduct, is isomorphic to the category of right (left) modules. This isomorphism enables a reformulation of the cotensor product of Eilenberg and Moore as a functor of modules rather than comodules. We prove that the cotensor product M \Box N of a right A-module M and a left A-module N is isomorphic to the vector space of homomorphisms from a particular left A^e-module D to N \otimes M, viewed as a left A^e-module. Some properties of D are described. Finally, we show that when A is a symmetric algebra, the cotensor product M \Box N and its derived functors are given by the Hochschild cohomology over A of N \otimes M. | |
| dc.description | LaTeX2e, uses diagram.sty. Submitted to Journal of Algebra. Corrected, with some expository improvements | |
| dc.identifier | https://arxiv.org/abs/math/9806044 | |
| dc.identifier | http://arxiv.org/abs/math/9806044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77017 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Topology | |
| dc.subject | 16D90; 16E30 | |
| dc.title | Modules, comodules and cotensor products over Frobenius algebras | |
| dc.type | text |