Theory of square-like abelian groups is decidable

Oleg Belegradek

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Theory of square-like abelian groups is decidable

Oleg Belegradek

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Abstract

A group is called square-like if it is universally equivalent to its direct square. It is known that the class of all square-like groups admits an explicit first order axiomatization but its theory is undecidable. We prove that the theory of square-like abelian groups is decidable. This answers a question posed by D. Spellman.

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BibTeX RIS

Oleg Belegradek. 2006-02-10. Theory of square-like abelian groups is decidable. https://arxiv.org/abs/math/0602203

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