LOCALIZATION IN COALGEBRAS: APPLICATIONS TO FINITENESS CONDITIONS

DOI10.1142/S0219498807002156zbMath1145.16020arXivmath/0403248OpenAlexW2010601003MaRDI QIDQ3442743

José Gómez-Torrecillas, Blass Torrecillas Jover, Constantin Năstăsescu

Publication date: 23 May 2007

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403248

zbMATH Keywords

categories of comodulesinjective comodulesquasi-finite comodulesconoetherian coalgebrasconoetherian comodulesreflexive coalgebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Localization of categories, calculus of fractions (18E35)

Related Items (12)

Pseudo-dualizing complexes of bicomodules and pairs of t-structures ⋮ Morita duality emerging from quasi-abelian categories ⋮ Dedualizing complexes of bicomodules and MGM duality over coalgebras ⋮ Triangular matrix coalgebras and applications ⋮ Valued Gabriel quiver of a wedge product and semiprime coalgebras. ⋮ Calabi–Yau Coalgebras ⋮ Locally stable Grothendieck categories: applications ⋮ Serial coalgebras and their valued Gabriel quivers. ⋮ Dualizing Complexes of Noetherian Complete Algebras via Coalgebras ⋮ When is a coalgebra a generator? ⋮ On extensions of rational modules. ⋮ Localization and colocalization in tilting torsion theory for coalgebras

Cites Work

• Unnamed Item
• On the structure of pointed coalgebras
• Reflexivity and coalgebras of finite type
• Locally finite representations
• Semiperfect coalgebras
• On the existence of Auslander-Reiten sequences of group representations. I
• Almost split sequences for comodules
• Quasi-co-Frobenius coalgebras
• IDEMPOTENTS AND MORITA-TAKEUCHI THEORY
• Hereditary coalgebras

This page was built for publication: LOCALIZATION IN COALGEBRAS: APPLICATIONS TO FINITENESS CONDITIONS