An example of an indecomposable module without non-zero hollow factor modules

• Type: Article in International Scientific Journal
• Date: 2007

Authors

lomp, christian (Author) FCUP

Journal

Title: Turkish Journal of Mathematics

Vol. 31 No. 4

Pages: 415-419

ISSN: 1300-0098

Publisher: Scientific and Technical research Council of Turkey - TUBITAK/Turkiye Bilimsel ve Teknik Arastirma Kurumu

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 1 Citation

Other information

Authenticus ID: P-004-ERE

Abstract (EN): A module M is called hollow-lifting if every subinodule N of M such that M/N is hollow contains a direct summand D subset of N such that N/D is a small subinodule of M/D. A module All is called lifting if such a, direct summand D exists for every subinodule N. We construct an indecomposable module M without non-zero hollow factor modules, showing that there are hollow-lifting modules which are not lifting. The existences of such modules had been left open in a recent work by N. Orhan, D. Keskin-Tutuncu and R. Tribak [2].

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 5