- #1

- 1,015

- 3

## Main Question or Discussion Point

Integer number and groups have unique factorizations into irreducible parts.

In general, what are the abstract requirements for mathematical objects to factorize uniquely?

I suppose for this question to ask a binary operation has to be defined. So is this question only possible for elements of groups?

In general, what are the abstract requirements for mathematical objects to factorize uniquely?

I suppose for this question to ask a binary operation has to be defined. So is this question only possible for elements of groups?