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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Structural monoids associated to equational varieties


Author: Patrick Dehornoy
Journal: Proc. Amer. Math. Soc. 117 (1993), 293-304
MSC: Primary 08B20; Secondary 20F05, 20M07
DOI: https://doi.org/10.1090/S0002-9939-1993-1107919-3
MathSciNet review: 1107919
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Abstract: Monoids of elementary transformations are associated to certain equational varieties in order to describe the corresponding free objects; in some regular cases, these monoids reduce to groups, and the word problem for the free objects of the variety is connected with the existence of normal forms for the members of the associated group.


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DOI: https://doi.org/10.1090/S0002-9939-1993-1107919-3
Article copyright: © Copyright 1993 American Mathematical Society