Kraft, Hanspeter and Small, Lance W. and Wallach, Nolan R.. (1999) Hereditary properties of direct summands of algebras. Mathematical research letters, Vol. 6. pp. 371-376.
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Abstract
We consider subrings S of rings R such that R = S oplus V with V either two sided invariant under multiplication by S or invariant under the commutator with S. We show that some important properties of R are inherited by S under such conditions. One is the FCR-property which says that every finite dimensional representation is completely reducible. Another application gives a characterization (in characteristic zero) of reductive subgroups of reductive groups.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft) |
|---|---|
| UniBasel Contributors: | Kraft, Hanspeter |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | International Press |
| ISSN: | 1073-2780 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Language: | English |
| edoc DOI: | |
| Last Modified: | 31 Dec 2015 10:49 |
| Deposited On: | 08 Jun 2012 06:47 |
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