On the structure of pointed coalgebras

DOI10.1016/0021-8693(82)90274-5zbMath0487.16011OpenAlexW2007366169MaRDI QIDQ1165298

David E. Radford

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90274-5

zbMATH Keywords

idempotentsprimitive elementssimple subcoalgebrasgraded vector spacepointed coalgebrasincidence coalgebratensor coalgebracofree pointed irreducible coalgebracoradical filtration

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (21)

LOCALIZATION IN COALGEBRAS: APPLICATIONS TO FINITENESS CONDITIONS ⋮ Unnamed Item ⋮ Localising embeddings of comodule categories with applications to tame and Euler coalgebras ⋮ IDEMPOTENTS AND MORITA-TAKEUCHI THEORY ⋮ Dual Gabriel theorem with applications. ⋮ Triangular matrix coalgebras and applications ⋮ Valued Gabriel quiver of a wedge product and semiprime coalgebras. ⋮ Localization in right (*)-serial coalgebras. ⋮ Frobenius structural matrix algebras. ⋮ Serial coalgebras and their valued Gabriel quivers. ⋮ On the bijectivity of the antipode and serial quantum groups ⋮ Irreducible morphisms, the Gabriel-valued quiver and colocalizations for coalgebras. ⋮ The Dickson subcategory splitting conjecture for pseudocompact algebras. ⋮ Quiver Hopf algebras. ⋮ On extensions of rational modules. ⋮ Infinite dimensional serial algebras and their representations ⋮ Comodules of \(U_q(sl_2)\) and modules of \(\text{SL}_q(2)\) via quiver methods ⋮ Localization and colocalization in tilting torsion theory for coalgebras ⋮ A functorial approach to Gabriel \(k\)-quiver constructions for coalgebras and pseudocompact algebras ⋮ Hopf Algebras on Schurian Quivers ⋮ On the coradical filtration of pointed coalgebras

Cites Work

• Unnamed Item
• Coreflexive coalgebras
• Reflexivity and coalgebras of finite type
• On the structure of commutative pointed Hopf algebras
• Weighted incidence coalgebras
• On antipodes in pointed Hopf algebras
• Bialgebras of type one^*

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