Extensions of three classical theorems to modules with maximum condition for finite matrix subgroups

Zimmermann, Wolfgang (1998): Extensions of three classical theorems to modules with maximum condition for finite matrix subgroups. In: Forum Mathematicum, Vol. 10, No. 3: pp. 377-392

Abstract

In this article analogues of the Hilbert Basis Theorem, the Artin-Rees Lemma and the Krull Intersection Theorem are shown for modules with ascending chain condition for finite matrix subgroups. The generalized Hilbert Basis Theorem yields an interesting construction principle of C-pure-injective modules over polynomial rings.

• Item Type: Journal article
• Form of publication: Publisher's Version
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0933-7741
• Alliance/National Licence: This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
• Language: English