A Note on Dimension Modules

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

Authors

Christian Lomp (Author) FCUP; Puczylowski, E (Author) Other

Journal

Title: Communications in Algebra

Vol. 43

Pages: 2267-2271

ISSN: 0092-7872

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

CORDIS: Physical sciences > Mathematics > Algebra ; Physical sciences > Mathematics

Other information

Authenticus ID: P-00G-4WT

DOI: 10.1080/00927872.2014.890725

Abstract (EN): In [2] Camillo and Zelmanowitz stated that rings all whose modules are dimension modules are semisimple Artinian. It seem however that the proof in [2] contains a gap and applies to rings with finite Goldie dimension only. In this paper we show that the result indeed holds for all rings with a basis as well as for all commutative rings with Goldie dimension attained.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 5