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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

The word problem for free lattice-ordered groups (and some other free algebras)


Author: Trevor Evans
Journal: Proc. Amer. Math. Soc. 98 (1986), 559-560
MSC: Primary 06F15; Secondary 20F10
MathSciNet review: 861749
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Abstract: It is known that in the lattice of all varieties of $ l$-groups, there is a unique maximal proper subvariety. Based on this fact we give a simple algorithm for deciding the word problem in free $ l$-groups. Some other applications are also given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0861749-2
PII: S 0002-9939(1986)0861749-2
Article copyright: © Copyright 1986 American Mathematical Society