Representation and cohomologies of groups and semigroups

This article surveys results related to the cohomology of lattices over group rings, particularly over the group ring of the Klein four--group. It is shown that in this setting, syzygies coincide with the Auslander-Reiten translation, enabling the full computation of Tate cohomology for all lattices...

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Bibliographic Details
Date:2025
Main Authors: Plakosh, Andriiana, Плакош, Андріяна
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2025
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/544
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine