Maximal Ideals in Commutative Rings: Explained and Solved

[norajill]

hi , pleasehelp me

itry to soution this question but ican not , because this out my book


Show that a proper ideal I of a commmutative ring R is a maximal ideal iff for any ideal A of R either A subset of I or A+I=R

 

[BrendanH]

Why would you not be able to get a solution just because this is from the book?

 

[HallsofIvy]

Start with the definition: What is the definition of "maximal ideal"?