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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Graphs with relations, coverings and group-graded algebras
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by Edward L. Green
Trans. Amer. Math. Soc. 279 (1983), 297-310
DOI: https://doi.org/10.1090/S0002-9947-1983-0704617-0

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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Bibliographic Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 279 (1983), 297-310
  • MSC: Primary 16A64; Secondary 05C20, 16A03, 16A90, 57M10
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0704617-0
  • MathSciNet review: 704617