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SEMINAR: Groups and Combinatorics Seminar, On Pseudo-Injective Group Algebra

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Today's date is Friday, October 23, 2020
Groups and Combinatorics Seminar, On Pseudo-Injective Group Algebra Other events...
Abstract:

A module M is called pseudo-injective if for every submodule X of M, any monomorphism f : X -------> M can be extended to a homomorphism g : M -------> M. Let K be a field and G a group. It is well known that a group algebra K[G] is self-injective if and only if the group G is finite. We show that if a group algebra K[G] is pseudo-injective then G is locally finite. It is also shown that if a group algebra K[G] has no non-trivial idempotent then K[G] is pseudo-injective if and only if it is self-injective. Furthermore, if K[G] is pseudo-injective then K[H] is pseudo-injective for every subgroup H of G.
Speaker(s) Adel Alahmadi
Location Weatherburn Lecture Theatre
Contact Irene Pivotto <[email protected]>
Start Fri, 05 Jul 2013 15:00
End Fri, 05 Jul 2013 16:00
Submitted by Irene Pivotto <[email protected]>
Last Updated Tue, 02 Jul 2013 09:20
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