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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2007 / Cilt: 36 - Sayı: 1

Finitely Coatomic Modules

C. HATİPOĞLU
G. BİLHAN
Sayfa
37–41
Yayın Tarihi
2022-10-18
DOI
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Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce finitely coatomic modules.
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Temel Bulgular & Veri:We prove that any direct sum of finitely coatomic modules is finitely coatomic.
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Sonuç & Katkı:Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Coatomic modules · Supplemented modules · 2000 AMS Classification: Primary: 16 D 10

Abstract

In this paper, we introduce finitely coatomic modules. We prove that any direct sum of finitely coatomic modules is finitely coatomic. Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.

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Bu Makaleye Atıf Yap

HATİPOĞLU, C., BİLHAN, G. (2022). Finitely Coatomic Modules. Hacettepe Journal of Mathematics and Statistics, Cilt: 36 - Sayı: 1, 37–41. https://ajindex.com/articles/530734

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Kaynakça (3)

  1. Alizade, R. and B¨uy¨uka¸sık, E. Cofinitely weak supplemented modules, Comm. Algebra 31(11), 5377–5390, 2003. G¨ung¨oro˘glu, G. Coatomic Modules, Far East J. Math. Sciences, Special volume 2, 153–162, 1998. G¨ung¨oro˘glu, G. and Harmancı, A. Coatomic Modules over Dedekind Domains, Hacettepe Bulletin of Natural Sciences and Engineering Series B 28, 25–29, 1999.
  2. Lomp, C. On semilocal modules and rings, Comm. Algebra 27 (4), 1921–1935, 1999.
  3. Rudlof, P. On the structure of couniform and complemented modules, J. Pure Appl. Algebra 74(3), 281–305, 1991. Z¨oschinger, H. Koatomare Moduln, Math. Z. 170, 221–232, 1980. Z¨oschinger, H. Komplemente als direkte Summanden III, Arch. Math. (Basel) 46 (2), 125– 135, 1986.