%0 Journal Article
%T A variety with solvable, but not uniformly solvable, word problem
%A Alan H. Mekler
%A Evelyn Nelson
%A Saharon Shelah
%J Mathematics
%D 1993
%I arXiv
%X In the literature two notions of the word problem for a variety occur. A variety has a decidable word problem if every finitely presented algebra in the variety has a decidable word problem. It has a uniformly decidable word problem if there is an algorithm which given a finite presentation produces an algorithm for solving the word problem of the algebra so presented. A variety is given with finitely many axioms having a decidable, but not uniformly decidable, word problem. Other related examples are given as well.
%U http://arxiv.org/abs/math/9301203v1