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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 42 Issue: 5

STRONGLY EXTENDING MODULES

Burcu Ungor
Sait Halicioglu
Sayfa
—
Yayın Tarihi
2013-05-01
DOI
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Under some conditions we prove that extending modules are strongly extending.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we recall the concept of strong largeness to define strongly extending modules which are particular extending modules, and investigate some properties of strongly extending modules.
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Temel Bulgular & Veri:We supply some examples showing that extending modules need not be strongly extending.
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Sonuç & Katkı:Under some conditions we prove that extending modules are strongly extending.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Large submodules · extending modules · strongly large submodules

Abstract

In this paper, we recall the concept of strong largeness to define strongly extending modules which are particular extending modules, and investigate some properties of strongly extending modules. We supply some examples showing that extending modules need not be strongly extending. Under some conditions we prove that extending modules are strongly extending.

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Bu Makaleye Atıf Yap

Ungor, B., Halicioglu, S. (2013). STRONGLY EXTENDING MODULES. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 5. https://ajindex.com/articles/1403444

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Kaynakça (8)

  1. Anderson, F. W. and Fuller, K. R. Rings and Categories of Modules, (Springer-Verlag, New York, 1992).
  2. Chatters, A. W and Khuri, S. M. Endomorphism rings of modules over non-singular CS rings, J. London Math. Soc. 21 No 2, 434–444, 1980.
  3. Dung, N. V., Huynh, D. V., Smith, P. F. and Wisbauer, R. Extending modules, (Pitman Research Notes in Math. Ser. 313, 1994).
  4. Harmanci, A. and Smith, P. F. Finite direct sums of CS-modules, Houston J. Math. 19 No 4, 523–532, 1993.
  5. Kamal, M. A. and M¨ uller, B. J. Extending modules over commutative domains, Osaka J. Math. 25, 531–538, 1988.
  6. Lam, T. Y. Lectures on Modules and Rings, (Springer-Verlag, New York, 1999). Ozcan, A. C., Harmanci, A. and Smith, P. F. Duo modules, Glasgow Math. J. 48 No 3, 533–545, 2006.
  7. Rizvi, S. T. and Roman, C. S. Baer and quasi-Baer modules, Comm. Algebra 32 No 1, 103–123, 2004.
  8. Ungor, B., Halicioglu, S., Kamal, M. A and Harmanci, A. Strongly Large Module Extensions, An. S ¸tiint. Univ. Al. I. Cuza Ia¸ si. Mat. (S.N.) 59 No 2, 431–452, 2013.