On socle-projective categories and tilting modules

DOI10.1080/00927879208824473zbMath0782.16006OpenAlexW2021842187MaRDI QIDQ4030322

Otto Kerner

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1080/00927879208824473

zbMATH Keywords

tilting moduleshereditary algebrastorsion theoryperpendicular categoriescategories of socle-projective modules

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Cites Work

• Tame algebras and integral quadratic forms
• Minimal algebras of infinite representation type with preprojective component
• Socle-determined categories of representations of Artinian hereditary tensor algebras
• Almost split sequences in subcategories
• Stable components of wild tilted algebras
• Tame and wilde socle-projuective categorise and generalized bäckstöm orders
• Tilting Wild Algebras
• On splitting torsion theories induced by tilting modules

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