Hereditary properties of direct summands of algebras

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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Official URL: http://edoc.unibas.ch/dok/A5842777

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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
Note:Publication type according to Uni Basel Research Database: Journal article
edoc DOI:
Last Modified:31 Dec 2015 10:49
Deposited On:08 Jun 2012 06:47

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