Semisimple quotient rings and morita context

DOI10.1080/00927879308824673zbMath0781.16018OpenAlexW2123556113MaRDI QIDQ5287566

Zhengping Zhou

Publication date: 17 August 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824673

zbMATH Keywords

semisimpleMorita contextMorita equivalentGabriel topologiesquotient functorsfinitely generated projective generatorsrelative Goldie dimension

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

• Unnamed Item
• The quotient category of a Morita context
• Rings of quotients of endomorphism rings of projective modules
• On the endomorphism ring of a module with relative chain conditions
• Morita equivalent quotient rings
• On Divisibility and Injectivity
• Endomorphism rings of torsionless modules