Algebra Handout 2: Ideals and Quotients

  title={Algebra Handout 2: Ideals and Quotients},
  author={Pete L. Clark},
Remark (Ideals versus subrings): It is worthwhile to compare these two notions; they are related, but with subtle and important differences. Both an ideal I and a subring S of a ring R are subsets of R which are subgroups under addition and are stable under multiplication. However, each has an additional property: for an ideal it is the absorption property… CONTINUE READING