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arXiv · 1707.09131

Every decidable pseudovariety of abelian groups is completely tame

Khadijeh Alibabaei
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Abstract

It has been shown that the proper, non-locally finite pseudovarieties of abelian groups are not tame with respect to the canonical signature. In this paper, we show that every decidable, proper, non-locally finite pseudovariety of abelian groups is completely tame with respect to a further enlarged implicit signature. This theorem yields as a corollary that a pseudovariety of abelian groups is decidable if and only if it is completely tame.

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Khadijeh Alibabaei. 2017-07-28. Every decidable pseudovariety of abelian groups is completely tame. https://arxiv.org/abs/1707.09131

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