Ideals of Priestley powers of semilattices
β Scribed by J. D. Farley
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 125 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0002-5240
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
. . . , 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
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]