Symmetric coalgebras.

DOI10.1016/j.jalgebra.2004.05.007zbMath1076.16034arXivmath/0311003OpenAlexW4206073962MaRDI QIDQ1887596

Constantin Năstăsescu, Sorin Dascalescu, Florencio Castaño Iglesias

Publication date: 22 November 2004

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

Full work available at URL: https://arxiv.org/abs/math/0311003

zbMATH Keywords

rings with local unitsHopf algebrasco-Frobenius coalgebrassemiperfect coalgebrasCasimir elementssymmetric coalgebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Quasi-Frobenius rings (16L60)

Related Items (11)

Coactions on spaces of morphisms. ⋮ Weak multiplier bialgebras ⋮ Connected cochain DG algebras of Calabi-Yau dimension 0 ⋮ Radford's \(S^4\) formula for co-Frobenius Hopf algebras. ⋮ The Translation Operator for Self-Projective Coalgebras ⋮ Calabi–Yau Coalgebras ⋮ Balanced Bilinear Forms on Matrix and Matrix-Like Coalgebras ⋮ A correspondence between homogeneous and Galois coactions of Hopf algebras ⋮ Nakayama functors for coalgebras and their applications to Frobenius tensor categories ⋮ When is a coalgebra a generator? ⋮ Co-Frobenius coalgebras.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Biinvertible actions of Hopf algebras
• Quantum deformation of Lorentz group
• Homological coalgebra
• Finiteness conditions for a Hopf algebra with a nonzero integral
• Semiperfect coalgebras
• Modules, comodules, and cotensor products over Frobenius algebras
• On Frobenius extensions defined by Hopf algebras
• Representations of finite-dimensional Hopf algebras
• Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups
• Maschke functors, semisimple functors and separable functors of the second kind: applications
• Quasi-co-Frobenius coalgebras
• Graded coalgebras and Morita-Takeuchi contexts
• Constructing pointed Hopf algebras by Ore extensions
• Characters of Hopf algebras
• When Hopf algebras are Frobenius algebras
• Über Untergruppen endlicher algebraischer Gruppen
• Symmetry for Finite Dimensional Hopf Algebras
• Frobenius extensions of subalgebras of Hopf algebras
• Quasi-co-Frobenius Coalgebras. II
• An Associative Orthogonal Bilinear Form for Hopf Algebras
• An approach to Hopf algebras via Frobenius coordinates

This page was built for publication: Symmetric coalgebras.