𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Basic Sequences of Homogeneous Ideals in Polynomial Rings

✍ Scribed by Mutsumi Amasaki

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
405 KB
Volume
190
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Coherent sequences of polynomial ideals
Coherent sequences of polynomial ideals on Banach spaces
✍ Daniel Carando; VerΓ³nica Dimant; Santiago Muro πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 259 KB πŸ‘ 1 views

## Abstract This article deals with the relationship between an operator ideal and its natural polynomial extensions. We define the concept of coherent sequence of polynomial ideals and also the notion of compatibility between polynomial and operator ideals. We study the stability of these properti

Basically Full Ideals in Local Rings
Basically Full Ideals in Local Rings
✍ William J. Heinzer; Louis J. Ratliff Jr.; David E. Rush πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 193 KB

Let A be a finitely generated module over a (Noetherian) local ring R M . We say that a nonzero submodule B of A is basically full in A if no minimal basis for B can be extended to a minimal basis of any submodule of A properly containing B. We prove that a basically full submodule of A is M-primary

An Algorithm for the Quillen–Suslin Theo
An Algorithm for the Quillen–Suslin Theorem for Quotients of Polynomial Rings by Monomial Ideals
✍ Reinhard Laubenbacher; Karen Schlauch πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 307 KB

This paper presents an algorithm for the Quillen-Suslin Theorem for quotients of polynomial rings by monomial ideals, that is, quotients of the form A = k[x 0 , . . . , xn]/I, with I a monomial ideal and k a field. Vorst proved that finitely generated projective modules over such algebras are free.