Frobenius Modules Associated to Algebra Automorphisms
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 mod...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/4/531 |
| _version_ | 1797297582532198400 |
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| author | Ji-Wei He Chenglong Rong |
| author_facet | Ji-Wei He Chenglong Rong |
| author_sort | Ji-Wei He |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-07T22:22:26Z |
| format | Article |
| id | doaj.art-09657e9d41144164b77f238acd97d107 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-07T22:22:26Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-09657e9d41144164b77f238acd97d1072024-02-23T15:26:04ZengMDPI AGMathematics2227-73902024-02-0112453110.3390/math12040531Frobenius Modules Associated to Algebra AutomorphismsJi-Wei He0Chenglong Rong1School of Mathematics, Hangzhou Normal University, Hangzhou 311121, ChinaSchool of Mathematics, Hangzhou Normal University, Hangzhou 311121, ChinaHere, 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.https://www.mdpi.com/2227-7390/12/4/531Frobenius moduleext-grouptor-group |
| spellingShingle | Ji-Wei He Chenglong Rong Frobenius Modules Associated to Algebra Automorphisms Mathematics Frobenius module ext-group tor-group |
| title | Frobenius Modules Associated to Algebra Automorphisms |
| title_full | Frobenius Modules Associated to Algebra Automorphisms |
| title_fullStr | Frobenius Modules Associated to Algebra Automorphisms |
| title_full_unstemmed | Frobenius Modules Associated to Algebra Automorphisms |
| title_short | Frobenius Modules Associated to Algebra Automorphisms |
| title_sort | frobenius modules associated to algebra automorphisms |
| topic | Frobenius module ext-group tor-group |
| url | https://www.mdpi.com/2227-7390/12/4/531 |
| work_keys_str_mv | AT jiweihe frobeniusmodulesassociatedtoalgebraautomorphisms AT chenglongrong frobeniusmodulesassociatedtoalgebraautomorphisms |