A Characterization of Algebras of Invariant-Coinvariant Module Type

DOI10.2307/2045143zbMath0552.16014OpenAlexW4244839538MaRDI QIDQ3344100

Ryohei Makino

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045143

zbMATH Keywords

finite dimensional algebralattice of submodulesprimitive idempotentquasi-projectivequasi-injectivefinitely generated indecomposable R-module

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Conditions on elements (16U99) Representation theory of associative rings and algebras (16Gxx)

Cites Work

• On rings for which every indecomposable right module has a unique maximal submodule
• On algebras of which every indecomposable representation has an irreducible one as the top or the bottom Leowy constituent
• Distributive modules
• On quasi projectives
• Algebras for which every indecomposable right module is invariant in its injective envelope
• Quasi-Injective Modules and Irreducible Rings
• Rings of left invariant module type

This page was built for publication: A Characterization of Algebras of Invariant-Coinvariant Module Type