Injective Hulls of Simple Modules over Differential Operator Rings

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Paula A A B Carvalho (Author) FCUP; Osman Can Hatipoglu (Author) FCUP; Christian Lomp (Author) FCUP

Journal

Title: Communications in Algebra

Vol. 43

Pages: 4221-4230

ISSN: 0092-7872

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 7 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-00G-DZ6

DOI: 10.1080/00927872.2014.941469

Abstract (EN): We study injective hulls of simple modules over differential operator rings R[; d], providing necessary conditions under which these modules are locally Artinian. As a consequence, we characterize Ore extensions of S=K[x][; sigma, d] for sigma a K-linear automorphism and d a K-linear sigma-derivation of K[x] such that injective hulls of simple S-modules are locally Artinian.

Language: English

Type (Professor's evaluation): Scientific