Generalizations of Primary Ideals - MAA Sections
Generalizations of Primary Ideals - MAA Sections
Generalizations of Primary Ideals - MAA Sections
SHOW LESS
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Theorem 2 Let R be a ring in which every ideal is finitely generated, and let A j , j = 1, . . . , n beg.r.p. ideals <strong>of</strong> R. If √ A 1 = · · · = √ A n then A = ⋂ nj=1 A j is a g.r.p. ideal <strong>of</strong> R.Pro<strong>of</strong>: The pro<strong>of</strong> follows by induction on n, using Lemma 3.4
Change language