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.
Anahtar Kelimeler
GQP-injective modules Kasch modules GP-injective rings semilocal rings perfect rings
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
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
Ayrıntılar
| Diğer ID | JA56PG94RH |
|---|---|
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Haziran 2009 |
| Yayımlandığı Sayı | Yıl 2009 Cilt: 5 Sayı: 5 |