nr. of nilpotents divides nr. of div. of 0
Source: Romanian NO, grde xii, p.2
October 2, 2019
Ring Theoryabstract algebraNilpotentalgebraCommutative Algebra
Problem Statement
a) Show that the set of nilpotents of a finite, commutative ring, is closed under each of the operations of the ring.
b) Prove that the number of nilpotents of a finite, commutative ring, divides the number of divisors of zero of the ring.