BibTex RIS Kaynak Göster

SOME RESULTS ON GQP-INJECTIVE MODULES

Yıl 2009, Cilt: 5 Sayı: 5, 1 - 6, 01.06.2009

Öz

Let R be a ring. In this note we study some properties of GQP-injective R−modules, some results on GP-injective rings and QP-injective modules are extended to these modules. Some new properties of GP-injective rings are obtained.

Kaynakça

  • T. Albu and R. Wisbauer, Kasch modules, Advances in Ring Theory, S. K. Jain and S. T. Rizvi (eds.), Birkh¨auser, 1997, 1-16.
  • J. L. Chen and N. Q. Ding, On general principally injective rings, Comm. Algebra, 27(5) (1999), 2097-2116.
  • J. L. Chen, Y. Q. Zhou and Z. M. Zhu, GP-injective rings need not be P- injective, Comm. Algebra, 33(7) (2005), 2395-2402.
  • W. K. Nicholson and M. F. Yousif, Principally injective rings, J. Algebra, 174 (1995), 77-93.
  • W. K. Nicholson, J. K. Park and M. F. Yousif, Principally quasi-injective modules, Comm. Algebra, 27(4) (1999), 1683-1693.
  • N. V. Sanh, K. P. Shum, S. Dhompongsa and S. Wongwai, On quasi-principally injective modules, Algebra Colloq., 6(3)(1999), 269-276.
  • N. V. Sanh and K. P. Shum, Endomorphism rings of quasi-principally injective modules, Comm. Algebra, 29(4) (2001), 1437-1443.
  • M. F. Yousif and Y. Q. Zhou, Rings for which certain elements have the prin- cipal extension property, Algebra Colloq., 10(4) (2003), 501-512.
  • Y. Q. Zhou, Rings in which certain right ideals are direct summands of anni- hilators, J. Aust. Math. Soc., 73(3) (2002), 335-346.
  • Z. M. Zhu, On general quasi-principally injective modules, Southeast Asian Bull. Math., 30(2) (2006), 391-397.
  • Z. M. Zhu and Z. S. Tan, A note on quasi P-injective modules, Sci. Math. Jpn., (3) (2005), 461-464.
  • Z. M. Zhu, Z. S. Xia and Z. S. Tan, Generalizations of principally quasi- injective modules and quasiprincipally injective modules, Int. J. Math. Math. Sci., (12) (2005), 1853-1860. Zhanmin Zhu
  • Department of Math., Jiaxing University, Jiaxing, Zhejiang Province, , China. e-mail: zhanmin zhu@hotmail.com
Yıl 2009, Cilt: 5 Sayı: 5, 1 - 6, 01.06.2009

Öz

Kaynakça

  • T. Albu and R. Wisbauer, Kasch modules, Advances in Ring Theory, S. K. Jain and S. T. Rizvi (eds.), Birkh¨auser, 1997, 1-16.
  • J. L. Chen and N. Q. Ding, On general principally injective rings, Comm. Algebra, 27(5) (1999), 2097-2116.
  • J. L. Chen, Y. Q. Zhou and Z. M. Zhu, GP-injective rings need not be P- injective, Comm. Algebra, 33(7) (2005), 2395-2402.
  • W. K. Nicholson and M. F. Yousif, Principally injective rings, J. Algebra, 174 (1995), 77-93.
  • W. K. Nicholson, J. K. Park and M. F. Yousif, Principally quasi-injective modules, Comm. Algebra, 27(4) (1999), 1683-1693.
  • N. V. Sanh, K. P. Shum, S. Dhompongsa and S. Wongwai, On quasi-principally injective modules, Algebra Colloq., 6(3)(1999), 269-276.
  • N. V. Sanh and K. P. Shum, Endomorphism rings of quasi-principally injective modules, Comm. Algebra, 29(4) (2001), 1437-1443.
  • M. F. Yousif and Y. Q. Zhou, Rings for which certain elements have the prin- cipal extension property, Algebra Colloq., 10(4) (2003), 501-512.
  • Y. Q. Zhou, Rings in which certain right ideals are direct summands of anni- hilators, J. Aust. Math. Soc., 73(3) (2002), 335-346.
  • Z. M. Zhu, On general quasi-principally injective modules, Southeast Asian Bull. Math., 30(2) (2006), 391-397.
  • Z. M. Zhu and Z. S. Tan, A note on quasi P-injective modules, Sci. Math. Jpn., (3) (2005), 461-464.
  • Z. M. Zhu, Z. S. Xia and Z. S. Tan, Generalizations of principally quasi- injective modules and quasiprincipally injective modules, Int. J. Math. Math. Sci., (12) (2005), 1853-1860. Zhanmin Zhu
  • Department of Math., Jiaxing University, Jiaxing, Zhejiang Province, , China. e-mail: zhanmin zhu@hotmail.com
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA56PG94RH
Bölüm Makaleler
Yazarlar

Zhanmin Zhu Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 5 Sayı: 5

Kaynak Göster

APA Zhu, Z. (2009). SOME RESULTS ON GQP-INJECTIVE MODULES. International Electronic Journal of Algebra, 5(5), 1-6.
AMA Zhu Z. SOME RESULTS ON GQP-INJECTIVE MODULES. IEJA. Haziran 2009;5(5):1-6.
Chicago Zhu, Zhanmin. “SOME RESULTS ON GQP-INJECTIVE MODULES”. International Electronic Journal of Algebra 5, sy. 5 (Haziran 2009): 1-6.
EndNote Zhu Z (01 Haziran 2009) SOME RESULTS ON GQP-INJECTIVE MODULES. International Electronic Journal of Algebra 5 5 1–6.
IEEE Z. Zhu, “SOME RESULTS ON GQP-INJECTIVE MODULES”, IEJA, c. 5, sy. 5, ss. 1–6, 2009.
ISNAD Zhu, Zhanmin. “SOME RESULTS ON GQP-INJECTIVE MODULES”. International Electronic Journal of Algebra 5/5 (Haziran 2009), 1-6.
JAMA Zhu Z. SOME RESULTS ON GQP-INJECTIVE MODULES. IEJA. 2009;5:1–6.
MLA Zhu, Zhanmin. “SOME RESULTS ON GQP-INJECTIVE MODULES”. International Electronic Journal of Algebra, c. 5, sy. 5, 2009, ss. 1-6.
Vancouver Zhu Z. SOME RESULTS ON GQP-INJECTIVE MODULES. IEJA. 2009;5(5):1-6.