Answer to Question #50505 in Abstract Algebra for mathsstd
Q. Let A and B be two ideals of ring R such that R=A⊕B show that R/A ≅B (R factor A is isomorphic to B) and
R/B ≅A (R factor B is isomorphic to A).
1
2015-01-23T07:36:08-0500
The set A / B is anideal of the quotient R / B and the quotientring (R / B) / (A / B)is isomorphic to R / A.
Need a fast expert's response?
Submit order
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments
Leave a comment