On the isomorphism problem for some classes of computable algebraic structures

Archive for Mathematical Logic 61 (5):813-825 (2022)
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Abstract

We establish that the isomorphism problem for the classes of computable nilpotent rings, distributive lattices, nilpotent groups, and nilpotent semigroups is \-complete, which is as complicated as possible. The method we use is based on uniform effective interpretations of computable binary relations into computable structures from the corresponding algebraic classes.

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Valentina Harizanov
George Washington University

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