Completely slightly compressible modules
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Dosyalar
Tarih
2012
Yazarlar
Dergi Başlığı
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Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this note we introduce and investigate completely slightly compressible modules as a generalization of compressible modules. It is shown that if M is completely slightly compressible module and for any 0 ? x ? M, xR is not isomorphic to any submodule of itself, then (1) every nonzero submodule of M contains a nonzero simple direct summand and (2) M has a decomposition M =M 1?M 2where M 1 is a semisimple sub module, M 2 is a submodule which has an essential socle. Every simple submodule of a completely slightly compressible is a direct summand. Furthermore, an artinian completely slightly compressible ring is semisimple.
Açıklama
Anahtar Kelimeler
Completely Slightly Compressible Modules, Ompressible Modules, Slightly Compressible Modules
Kaynak
Thai Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
10
Sayı
1
