Authors:
G. F. Birkenmeier Department of Mathematics, University of Louisiana at Lafayette Lafayette, Louisiana 70504, U.S.A. Lafayette, Louisiana 70504, U.S.A.

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Karabacak F. Anadolu University, Education Faculty, Department of Mathematics 26470 Eskisehir, Turkey 26470 Eskisehir, Turkey

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Tercan A. Hacettepe University, Department of Mathematics, Beytepe Campus 06532 Ankara, Turkey 06532 Ankara, Turkey

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Summary  

A right R-module M has right SIP (SSP) if the intersection (sum) of two direct summands of M is also a direct summand. It is shown that the right SIP (SSP) is not a Morita invariant property and that a nonsingular C11+-module does not necessarily have SIP. In contrast, it is shown that the direct sum of two copies of a right Ore domain has SIP as a right module over itself.

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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