Exercise 36, Let A, B, and C be ideals of a commutative ring R. Prove the following: (1) A.(B.C) (A.B).C, (2) A.B= B.A, (3) A.BCANB, (4) A.(B+C) A.B+A.C, (5)AC B implies A.CC B.C, (6) A.(BnC)...

Help me fast so that I will give Upvote.

Exercise 36, Let A, B, and C be ideals of a commutative ring R. Prove the following:<br>(1) A.(B.C) (A.B).C, (2) A.B= B.A, (3) A.BCANB,<br>(4) A.(B+C) A.B+A.C, (5)AC B implies A.CC B.C, (6) A.(BnC) CA.BOA.C.<br>

Extracted text: Exercise 36, Let A, B, and C be ideals of a commutative ring R. Prove the following: (1) A.(B.C) (A.B).C, (2) A.B= B.A, (3) A.BCANB, (4) A.(B+C) A.B+A.C, (5)AC B implies A.CC B.C, (6) A.(BnC) CA.BOA.C.

Jun 04, 2022

SOLUTION.PDF

Exercise 36, Let A, B, and C be ideals of a commutative ring R. Prove the following: (1) A.(B.C) (A.B).C, (2) A.B= B.A, (3) A.BCANB, (4) A.(B+C) A.B+A.C, (5)AC B implies A.CC B.C, (6) A.(BnC)...

Get Answer To This Question

Related Questions & Answers

Submit New Assignment