IDEMPOTENTS AND MORITA-TAKEUCHI THEORY

DOI10.1081/AGB-120003476zbMath1006.16050OpenAlexW2046176443MaRDI QIDQ4551088

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Publication date: 10 December 2002

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

Full work available at URL: https://doi.org/10.1081/agb-120003476

zbMATH Keywords

idempotentscoradicalscomodulesmatrix coalgebrasMorita-Takeuchi equivalencesbasic coalgebras

Mathematics Subject Classification ID

Related Items (28)

LOCALIZATION IN COALGEBRAS: APPLICATIONS TO FINITENESS CONDITIONS ⋮ Localising embeddings of comodule categories with applications to tame and Euler coalgebras ⋮ Triangular matrix coalgebras and applications ⋮ Valued Gabriel quiver of a wedge product and semiprime coalgebras. ⋮ Localization in right (*)-serial coalgebras. ⋮ On the dimension of the space of integrals on coalgebras. ⋮ The Translation Operator for Self-Projective Coalgebras ⋮ Calabi–Yau Coalgebras ⋮ Coxeter transformation and inverses of Cartan matrices for coalgebras. ⋮ Covering coalgebras and dual non-singularity. ⋮ Representation-Directed Incidence Coalgebras of Intervally Finite Posets and the Tame-Wild Dichotomy ⋮ Nakayama functors for coalgebras and their applications to Frobenius tensor categories ⋮ Frobenius structural matrix algebras. ⋮ Special biserial coalgebras and representations of quantum \(SL(2)\). ⋮ Some Remarks on Localization in Coalgebras ⋮ Serial coalgebras. ⋮ Serial coalgebras and their valued Gabriel quivers. ⋮ Irreducible morphisms, the Gabriel-valued quiver and colocalizations for coalgebras. ⋮ The Dickson subcategory splitting conjecture for pseudocompact algebras. ⋮ (*)-serial coalgebras. ⋮ Infinite dimensional serial algebras and their representations ⋮ Localization in tame and wild coalgebras. ⋮ Quasi-co-Frobenius Coalgebras. II ⋮ Localization and colocalization in tilting torsion theory for coalgebras ⋮ A functorial approach to Gabriel \(k\)-quiver constructions for coalgebras and pseudocompact algebras ⋮ Localization in Coalgebras. Stable Localizations and Path Coalgebras ⋮ Graded almost Noetherian rings and applications to coalgebras ⋮ The strong Brauer group of a cocommutative coalgebra

Cites Work

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• Colby-Fuller duality between coalgebras
• On the structure of pointed coalgebras
• Locally finite representations
• Wide Morita contexts and equivalences of comodule categories
• Quasi-co-Frobenius coalgebras
• The Brauer group of a cocommutative coalgebra
• Finite Hopf-Galois coextensions, crossed coproducts, and duality
• Morita's Theorem for Coalgebras

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