Abstract.
A nonexpansive algebra is a pseudometric algebra in which the operations are all nonexpansive. We study such algebras, particularly in the case of algebras in permutable and n-permutable varieties, leading to new characterizations of such varieties. Free nonexpansive algebras are also investigated.
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This paper is dedicated to Walter Taylor.
Received September 27, 2005; accepted in final form February 4, 2006.
The author would like to thank the referee for the many helpful suggestions.
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Coleman, J.P. Nonexpansive algebras. Algebra univers. 55, 479–494 (2006). https://doi.org/10.1007/s00012-006-1997-6
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DOI: https://doi.org/10.1007/s00012-006-1997-6