A Generalised character theory for modules

DOI10.1080/00927870008841072zbMath0953.16006OpenAlexW1990158109MaRDI QIDQ4942359

Kevin Burke

Publication date: 7 November 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008841072

zbMATH Keywords

generalized charactersfinitely presented functorsinteger-valued charactersmodel theory of modulesZiegler spectracomplete theories of modulescategories of finitely presented right modules\(\Sigma\)-pure-injective moduleselementary dualitiesmodules of finite endolengthSylvester matrix rank functions

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Applications of logic in associative algebras (16B70)

Cites Work

• Remarks on elementary duality
• A note on monomial automorphisms
• Model theory of modules
• Representation embeddings and the Ziegler spectrum
• Elementary Duality of Modules
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