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- W2016069881 abstract "Leti1,…,igH1…,Hf(g≥1,f≥1) be ideal in a a Noetherian ring R,letj1…,jg be poitiveintegers,and let be an element in Ij 1 i(i=1,…,g). then b1…,bg are a superficial set of element of degree j1…,jgforI1…,Ig; H11…,hf in case there exist positve interers c1…,cg such that forH=1…,for allki≥ciand for all ni≥0(i=1,…,g) In this paper we show the existence of such sets of elements, characterize them in sevaral ways(when eitherf=1 and H1=R Or Rad(I1…I1)⊆Rad(H1…,Hh)), show a few of their basic properties and use them to show that if each Iiis regular then for all ideals H in R, for all large ki and for allni≥(i=1,…,g)" @default.
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- W2016069881 date "1989-01-01" @default.
- W2016069881 modified "2023-09-27" @default.
- W2016069881 title "Superficial sets of elements for sets of ideals" @default.
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- W2016069881 doi "https://doi.org/10.1080/00927878908823896" @default.
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