A Note on the %26quot;Smith is Huq%26quot; Condition

作者：Martins Ferreira Nelson; Van der Linden Tim^*

来源：Applied Categorical Structures, 2012, 20(2): 175-187.

DOI：10.1007/s10485-010-9231-2

• Commutator
• Internal reflexive graph
• Star-multiplication
• Groupoid
• Protomodular category
• Semi-abelian category

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.

• 出版日期2012-4