Consider the algebraic structure (Z \times Z, \bot), with (a,b)



Answered question


Consider the algebraic structure (Z×Z,), with (a,b)(c,d)=(a+c, bd) for each a,b,c,dZ.
Prove that (Z×Z,) is a commutative monoid

Answer & Explanation

Thomas White

Thomas White

Beginner2022-01-07Added 40 answers

Addition (a+c) and multiplication (bd) are commutative operations in the set of integer numbers, so (Z×Z,) is a commutative monoid.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Commutative Algebra

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?