The path algebra as a left adjoint functor

DOI10.1007/s10468-018-9836-yzbMath1450.16038arXiv1704.06152OpenAlexW2963854998WikidataQ111288357 ScholiaQ111288357MaRDI QIDQ2301665

Kostyantyn Yusenko, John William MacQuarrie

Publication date: 25 February 2020

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06152

zbMATH Keywords

finite dimensional algebrasadjoint functorsGabriel quiverpseudocompact algebrascompleted path algebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Representations of quivers and partially ordered sets (16G20) Associative rings and algebras with additional structure (16W99)

Related Items (2)

A CATEGORIFICATION OF ACYCLIC PRINCIPAL COEFFICIENT CLUSTER ALGEBRAS ⋮ A functorial approach to Gabriel \(k\)-quiver constructions for coalgebras and pseudocompact algebras

Cites Work

• Quivers with potentials and their representations. I: Mutations.
• The universal cover of an algebra without double bypass.
• Pseudocompact algebras, profinite groups and class formations
• The structure of non-semisimple algebras
• Coalgebras, comodules, pseudocompact algebras and tame comodule type
• Representations of Quivers Over F1 and Hall Algebras
• HEREDITARY AND PATH COALGEBRAS
• Des catégories abéliennes
• Linearly Compact Modules and Rings
• Profinite Groups
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