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W-Coatomic Modules

Journal Name:

  • Çankaya University Journal of Science and Engineering

Publication Year:

  • 2010

Key Words:

Keywords (Original Language):

Author NameUniversity of Author
Abstract (2. Language): 
In this paper we introduce w-coatomic modules and some of their properties. We prove that the finite sum of w-coatomic modules is w-coatomic. It is shown that w-coatomic modules are closed under extensions. It is proved that if an R-module M is reduced and every proper semisimple submodule N of M has a supplement in M, then M is w-coatomic.
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Abstract (Original Language): 
Bu makalede w-koatomik modül tanımı verildi ve özellikleri incelendi. W-koatomik modüllerin sonlu toplamının da w-koatomik olduğu ispatlandı. W-koatomik modüllerin genişleme altında kapalı olduğu gosterildi. Ayrıca indirgenmiş bir M modülünde her yarıbasit alt modülü bir tümleyene sahipse, M modulünün w-koatomik oldugu ispatlandı.
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  • 1
17-24
  • Turkish

REFERENCES

References: 

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[2]
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Math. Soc. 78 (2008), 317-325.

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