Hereditary triangular matrix comonads

DOI10.1080/03081087.2015.1071315zbMath1378.15009arXiv1504.07594OpenAlexW2963023233MaRDI QIDQ2805687

José Gómez-Torrecillas, Laiachi El Kaoutit

Publication date: 12 May 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07594

zbMATH Keywords

categories of comodulesglobal homological dimensionabelian hereditary categoriesmatrix comonads

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Homological dimension (category-theoretic aspects) (18G20) Eilenberg-Moore and Kleisli constructions for monads (18C20) Coalgebras and comodules; corings (16T15)

Related Items (1)

Triangular matrix coalgebras: Representation theory and recollement

Cites Work

• Wide Morita contexts and equivalences of comodule categories
• Modules, comodules, and cotensor products over Frobenius algebras
• Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings.
• Triangular matrix coalgebras and applications
• On the Dimension of Modules and Algebras, I
• On the Dimension of Modules and Algebras, IV: Dimension of Residue Rings of Hereditary Rings
• On the Dimension of Modules and Algebras, X: A Right Hereditary Ring which is not left Hereditary
• Cohomology for Bicomodules. Separable and Maschke functors
• A Generalization of the Ring of Triangular Matrices
• Frobenius functors: applications
• Wide morita contexts
• Bipartite coalgebras and a reduction functor for coradical square complete coalgebras
• Hereditary Semi-Primary Rings and Tri-Angular Matrix Rings
• On the Dimension of Modules and Algebras, VII. Algebras with Finite-Dimensional Residue-Algebras
• On the Dimension of Modules and Algebras, VIII. Dimension of Tensor Products

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