Note on divisorial sets of elements for sets of ideals
Titel:
Note on divisorial sets of elements for sets of ideals
Auteur:
Mirbagheri, Ahmad Ratliff, L.J. Rush, D.E.
Verschenen in:
Communications in algebra
Paginering:
Jaargang 19 (1991) nr. 1 pagina's 223-248
Jaar:
1991
Inhoud:
Let [image omitted] be ideals in a Noetherian rings R and assume that [image omitted] and for all nonnegrative integers [image omitted] . Then there exit positive integers [image omitted] and elements [image omitted] such that (a) and (b) hold: (a) There exist positive integers [image omitted] such that [image omitted] for all nonempty subsets [image omitted] , for all positive integers [image omitted] , for all nonnegative integers [image omitted] such that [image omitted] and where [image omitted] and, (b) if [image omitted] are positive integers, then there exist positive integers [image omitted] such that [image omitted] for all nonempty subsets [image omitted] , for all positive integers [image omitted] and for all nonnegative integers [image omitted] such that [image omitted] .This result unifies some earlier known results due to Rees,Teissier, and the authors.