A note on the "Smith is Huq" condition

Details A note on the "Smith is Huq" condition A note on the "Smith is Huq" condition

2010-06-09

arxiv.org/abs/1006.1768v1

Mathematics

Category Theory

11 pages

Scientific paper

10.1007/s10485-010-9231-2

We show that two known conditions which arose naturally in commutator theory
and in the theory of internal crossed modules coincide: every
star-multiplicative graph is multiplicative if and only if every two effective
equivalence relations commute as soon as their normalisations do. This answers
a question asked by George Janelidze.

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