# Zero product property for integers

1. Feb 4, 2008

### de1irious

Hi, I am just wondering if the zero product property (ab=0 implies a=0 or b=0) can be proven on the integers, or is it directly axiomatic to the defining of the integers? Also, where might I find a definition of the integer axioms? Thanks a lot,

2. Feb 5, 2008

### HallsofIvy

Staff Emeritus
Last edited: Feb 5, 2008