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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Coxeter functors without diagrams


Authors: Maurice Auslander, María Inés Platzeck and Idun Reiten
Journal: Trans. Amer. Math. Soc. 250 (1979), 1-46
MSC: Primary 16A64; Secondary 16A35
MathSciNet review: 530043
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Abstract: The first part of this paper is devoted to a generalization of the notion of partial Coexeter functor from diagrams to certain types of artin rings and artin algebras. The rest of the paper is devoted to a discussion of the connection between the various Coxeter functors which exist for diagrams as well as for artin rings and artin algebras.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1979-0530043-2
PII: S 0002-9947(1979)0530043-2
Article copyright: © Copyright 1979 American Mathematical Society