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Preprint Number 1271

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1271. Khadijeh Alibabaei
Every decidable pseudovariety of abelian groups is completely tame

Submission date: 28 July 2017


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.

Mathematics Subject Classification: 20E18, 20M05, 20M07, 20F10, 20K01

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Full text arXiv 1707.09131: pdf, ps.

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