Öz
Kaynakça
- [1] N. Agayev, S. Halicioglu and A. Harmanci, ``On Rickart modules’’, appears in Bull. Iran. Math. Soc. available at http://www. iranjournals.ir/ims/bulletin/
- [2] G. F. Birkenmeier, J. Y. Kim and J. K. Park, ``On extensions of Baer and quasi-Baer Rings’’, J. Pure Appl. Algebra 159(2001), 25-42.
- [3] I. Kaplansky, ``Rings of Operators’’, Math. Lecture Note Series, Benjamin, New York, (1965).
- [4] T. K. Lee and Y. Zhou, ``Reduced modules’’, Rings, modules, algebras, and abelian groups, 365-377, Lecture Notes in Pure Appl. Math. 236, Dekker, New York, (2004).
- [5] S. T. Rizvi and C. S. Roman, ``Baer and QuasiBaer Modules’’, Comm. Algebra 32(2004), 103-123.
- [6] J. E. Roos, ``Sur les categories auto-injectifs a droit’’, C. R. Acad. Sci. Paris 265(1967), 14- 17.
Öz
In this note, we investigate extensions of Baer and principally projective modules. Let R be an arbitrary ring with identity and M a right R-module. For an abelian module M, we show that M is Baer (resp. principally projective) if and only if the polynomial extension of M is Baer (resp. principally projective) if and only if the power series extension of M is Baer (resp. principally projective) if and only if the Laurent polynomial extension of M is Baer (resp. principally projective) if and only if the Laurent power series extension of M is Baer (resp. principally projective).
Anahtar Kelimeler
abelian modules Baer modules principally projective modules.
Kaynakça
- [1] N. Agayev, S. Halicioglu and A. Harmanci, ``On Rickart modules’’, appears in Bull. Iran. Math. Soc. available at http://www. iranjournals.ir/ims/bulletin/
- [2] G. F. Birkenmeier, J. Y. Kim and J. K. Park, ``On extensions of Baer and quasi-Baer Rings’’, J. Pure Appl. Algebra 159(2001), 25-42.
- [3] I. Kaplansky, ``Rings of Operators’’, Math. Lecture Note Series, Benjamin, New York, (1965).
- [4] T. K. Lee and Y. Zhou, ``Reduced modules’’, Rings, modules, algebras, and abelian groups, 365-377, Lecture Notes in Pure Appl. Math. 236, Dekker, New York, (2004).
- [5] S. T. Rizvi and C. S. Roman, ``Baer and QuasiBaer Modules’’, Comm. Algebra 32(2004), 103-123.
- [6] J. E. Roos, ``Sur les categories auto-injectifs a droit’’, C. R. Acad. Sci. Paris 265(1967), 14- 17.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Mühendislik |
| Bölüm | Mathematics |
| Yazarlar | |
| Yayımlanma Tarihi | 25 Şubat 2012 |
| Yayımlandığı Sayı | Yıl 2012 Cilt: 25 Sayı: 4 |