# Finiteness properties of direct products of algebraic structures

@article{Mayr2016FinitenessPO,
title={Finiteness properties of direct products of algebraic structures},
author={Peter Mayr and Nik Ru{\vs}kuc},
journal={arXiv: Rings and Algebras},
year={2016}
}
• Published 19 April 2016
• Mathematics
• arXiv: Rings and Algebras
7 Citations

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J. Lond. Math. Soc.
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### Presentations for wreath products involving symmetric inverse monoids and categories

• Mathematics
• 2022
Wreath products involving symmetric inverse monoids/semigroups/categories arise in many areas of algebra and science, and presentations by generators and relations are crucial tools in such studies.

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It is well known that if two algebraic structures A and B are residually finite then so is their direct product. Here we discuss the converse of this statement. It is of course true if A and B

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