Open AccessA characterization of hereditary algebras via thick subcategories
Author(s) -
Yuta Kimura
Publication year - 2020
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/15036
Subject(s) - annotation , algorithm , type (biology) , artificial intelligence , computer science , semantics (computer science) , mathematics , natural language processing , biology , programming language , ecology
Let Λ \Lambda be a finite dimensional algebra. There exists a natural injective map from the set of wide subcategories in the category of finitely generated Λ \Lambda -modules to the set of thick subcategories in the bounded derived category of Λ \Lambda .We show, when Λ \Lambda is elementary, that the natural map is bijective if and only if Λ \Lambda is hereditary.