Static Subcategories of the Module Category of a Finite-Dimensional Hereditary Algebra

DOI10.1080/00927872.2015.1053902zbMath1376.16016arXiv1407.5206OpenAlexW2964062411MaRDI QIDQ2815408

Wafaa Mohammed Fakieh, Claus Michael Ringel, Mustafa A. Obaid, Syed Khalid Nauman

Publication date: 28 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5206

zbMATH Keywords

Nakayama algebrasrepresentation typesbricksfinite-dimensional hereditary algebras\(\mathrm{ab}\)-projective modules\(M\)-adstatic modules\(M\)-static modulestame, and wild and strictly wildthe smallest exact abelian subcategory containing a given moduletriple modules

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Cites Work

• Static modules and stable Clifford theory
• Static modules, Morita contexts, and equivalences
• Representations of K-species and bimodules
• Representation Theory of Artin Algebras I

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