Tag Archives: chinese remainder theorem

Commutative Algebra 1

More About Ideals Recall that we defined three operations on ideals: intersection, sum and product. We can take intersection and sum of any collection of ideals (even infinitely many of them), but we can only define the product of finitely many … Continue reading

Posted in Advanced Algebra | Tagged , , , | Leave a comment

Introduction to Ring Theory (5)

Our first order of the day is to state the correspondence between the ideals and subrings of R/I and those of R. This is totally analogous to the case of groups. Theorem. Let I be an ideal of R. There are 1-1 … Continue reading

Posted in Notes | Tagged , , , , , , | Leave a comment