Graphs with relations, coverings and group-graded algebras

Author:
Edward L. Green

Journal:
Trans. Amer. Math. Soc. **279** (1983), 297-310

MSC:
Primary 16A64; Secondary 05C20, 16A03, 16A90, 57M10

MathSciNet review:
704617

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Abstract: The paper studies the interrelationship between coverings of finite directed graphs and gradings of the path algebras associated to the directed graphs. To include gradings of all basic finite-dimensional algebras over an algebraically closed field, a theory of coverings of graphs with relations is introduced.

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DOI:
http://dx.doi.org/10.1090/S0002-9947-1983-0704617-0

Article copyright:
© Copyright 1983
American Mathematical Society