ON A RECENT GENERALIZATION OF SEMIPERFECT RINGS

• Type: Article in International Scientific Journal
• Date: 2008

Authors

buyukasik, engin (Author) Other; lomp, christian (Author) FCUP

Journal

Title: Bulletin of the Australian Mathematical Society

Vol. 78 No. 2

Pages: 317-325

ISSN: 0004-9727

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 25 Citations

Scopus - 24 Citations

Other information

Authenticus ID: P-003-VNK

DOI: 10.1017/s0004972708000774

Abstract (EN): In a recent paper by Wang and Ding, it was stated that any ring which is generalized supplemented as a left module over itself is semiperfect. The purpose of this note is to show that Wang and Ding's claim is not true and that the class of generalized supplemented rings lies properly between the classes of semilocal and semiperfect rings. Moreover, we propose a corrected version of the theorem by introducing a wider notion of 'local' for submodules.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9