𝔖 Bobbio Scriptorium
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Powers of ideals

✍ Scribed by Irena Swanson

Publisher
Springer
Year
1997
Tongue
English
Weight
176 KB
Volume
307
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

Symbolic powers of edge ideals
Symbolic powers of edge ideals
✍ Carlos E.N. Bahiano πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 298 KB

. . . , X n ] be an ideal in a polynomial ring over the field k. We define the essential symbolic module of I to be the R/I -module -Δ±) and I (m) stands for the mth symbolic power of I. We will mainly focus on the case where I is generated by square-free monomials of degree two. Among our main resu

On finite generation of powers of ideals
On finite generation of powers of ideals
✍ Moshe Roitman πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 132 KB

Following a joint work with Gilmer and Heinzer, we prove that if M is a maximal ideal of an integral domain R such that some power of M is ΓΏnitely generated, then M is ΓΏnitely generated under each of the assumptions below: (a) R is coherent. (b) R is seminormal and M is of height 2. (c) R = K[X ; S]