Atıf İçin Kopyala
Birkenmeier G. F., Karabacak F., Tercan A.
ACTA MATHEMATICA HUNGARICA, cilt.112, sa.1-2, ss.103-106, 2006 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
112
Sayı:
1-2
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Basım Tarihi:
2006
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Doi Numarası:
10.1007/s10474-006-0067-z
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Dergi Adı:
ACTA MATHEMATICA HUNGARICA
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.103-106
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Anahtar Kelimeler:
summand intersection property, summand sum property, C-11-module, SUMMAND INTERSECTION PROPERTY
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Anadolu Üniversitesi Adresli:
Hayır
Özet
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 C-11(+)-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.