Yıl 2014,
Cilt: 2 Sayı: 2, 129 - 133, 01.08.2014
Öz
A right module over an associative ring with unity is a -module if every finitely generated submodule of any homomorphic image of is a direct sum of uniserial modules. In this paper we focus our attention to the socles of fully invariant submodules and introduce a new class of modules, which we term socle-regular -modules. This class is shown to be large and strictly contains the class of fully transitive modules. Also, here we investigated some basic properties of such modules
Anahtar Kelimeler
Kaynakça
- Fuchs L., Infinite Abelian Groups, Vol. I, Academic Press, New York, (1970).
- Fuchs L., Infinite Abelian Groups, Vol. II, Academic Press, New York, (1973).
- Hefzi M. A. and Singh S., On σ-pure submodules of QTAG-modules, Arch. Math., 46(1986), 501 − 510.
- Kaplansky I., Infinite Abelian Groups, University of Michigan Press, Ann Arbor, 1954 and 1969.
- Khan, M.Z., Modules behaving like torsion abelian groups II, Math. Japonica, 23(5)(1979), 509 − 516.
- Mehdi A., Abbasi M. Y. and Mehdi F., Nice decomposition series and rich modules, South East Asian J. Math. & Math. Sci., 4(1), 1- 6, (2005).
- Mehdi A., Abbasi M. Y. and Mehdi F., On (ω + n)-projective modules, Ganita Sandesh, 20(1), 27-32, (2006).
- Mehdi A., Naji S.A.R.K and Hasan A., Small homomorphisms and large submodules of QTAG-modules, Scientia Series A., Math. Sci., 23(2012), 19-24.
- Singh S., Some decomposition theorems in abelian groups and their generalizations, Ring Theory, Proc. of Ohio Univ. Conf. Marcel Dekker N.Y. 25, 183-189, (1976).
Yıl 2014,
Cilt: 2 Sayı: 2, 129 - 133, 01.08.2014
Öz
Kaynakça
- Fuchs L., Infinite Abelian Groups, Vol. I, Academic Press, New York, (1970).
- Fuchs L., Infinite Abelian Groups, Vol. II, Academic Press, New York, (1973).
- Hefzi M. A. and Singh S., On σ-pure submodules of QTAG-modules, Arch. Math., 46(1986), 501 − 510.
- Kaplansky I., Infinite Abelian Groups, University of Michigan Press, Ann Arbor, 1954 and 1969.
- Khan, M.Z., Modules behaving like torsion abelian groups II, Math. Japonica, 23(5)(1979), 509 − 516.
- Mehdi A., Abbasi M. Y. and Mehdi F., Nice decomposition series and rich modules, South East Asian J. Math. & Math. Sci., 4(1), 1- 6, (2005).
- Mehdi A., Abbasi M. Y. and Mehdi F., On (ω + n)-projective modules, Ganita Sandesh, 20(1), 27-32, (2006).
- Mehdi A., Naji S.A.R.K and Hasan A., Small homomorphisms and large submodules of QTAG-modules, Scientia Series A., Math. Sci., 23(2012), 19-24.
- Singh S., Some decomposition theorems in abelian groups and their generalizations, Ring Theory, Proc. of Ohio Univ. Conf. Marcel Dekker N.Y. 25, 183-189, (1976).
Toplam 9 adet kaynakça vardır.
Ayrıntılar
| Yazarlar | |
|---|---|
| Yayımlanma Tarihi | 1 Ağustos 2014 |
| IZ | https://izlik.org/JA76GA94EW |
| Yayımlandığı Sayı | Yıl 2014 Cilt: 2 Sayı: 2 |