Question

Is the intersection of any two left ideals of of the rings is againg a left ideal of the ring

Answer 1

Step-by-step explanation:

Prove that the intersection of any set of Ideals of a ring is an Ideal. I'm looking for hints. Let A, B both be Ideals of a ring R. Suppose I≡A∩B. ...

Answer 2

Is the intersection of any two left ideals of of the rings is again a left ideal of the ring:

Explanation:

• The sum and the intersection of ideals is again an ideal with these two operations as join and meet.
• The set of all ideals of a given ring forms a complete modular lattice.
• So, intersection of two ideals is again ideal.