Frobenius Modules Associated to Algebra Automorphisms

Ji-Wei He () and Chenglong Rong
Additional contact information
Ji-Wei He: School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
Chenglong Rong: School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China

Mathematics, 2024, vol. 12, issue 4, 1-10

Abstract: Here, we study Frobenius bimodules associated with a pair of automorphisms of an algebra and discuss their basic properties. In particular, some equivalent conditions for a finite-dimensional bimodule are proved to be Frobenius and some isomorphisms between Ext-groups and Tor-groups of Frobenius modules over finite dimensional algebras are established.

Keywords: Frobenius module; ext-group; tor-group (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/4/531/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/4/531/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:4:p:531-:d:1336000

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().