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Dergiler / International Electronic Journal of Algebra / 2009 / Cilt: 5 - Sayı: 5

SOME RESULTS ON GQP-INJECTIVE MODULES

Zhanmin ZHU
Sayfa
1–6
Yayın Tarihi
2009-06-01
DOI
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Some new properties of GP-injective rings are obtained.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Some new properties of GP-injective rings are obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:GQP-injective modules · Kasch modules · GP-injective rings

Abstract

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.

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Bu Makaleye Atıf Yap

ZHU, Z. (2009). SOME RESULTS ON GQP-INJECTIVE MODULES. International Electronic Journal of Algebra, Cilt: 5 - Sayı: 5, 1–6. https://ajindex.com/articles/832549

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Kaynakça (13)

  1. T. Albu and R. Wisbauer, Kasch modules, Advances in Ring Theory, S. K. Jain and S. T. Rizvi (eds.), Birkh¨auser, 1997, 1-16.
  2. J. L. Chen and N. Q. Ding, On general principally injective rings, Comm. Algebra, 27(5) (1999), 2097-2116.
  3. 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.
  4. W. K. Nicholson and M. F. Yousif, Principally injective rings, J. Algebra, 174 (1995), 77-93.
  5. W. K. Nicholson, J. K. Park and M. F. Yousif, Principally quasi-injective modules, Comm. Algebra, 27(4) (1999), 1683-1693.
  6. N. V. Sanh, K. P. Shum, S. Dhompongsa and S. Wongwai, On quasi-principally injective modules, Algebra Colloq., 6(3)(1999), 269-276.
  7. N. V. Sanh and K. P. Shum, Endomorphism rings of quasi-principally injective modules, Comm. Algebra, 29(4) (2001), 1437-1443.
  8. 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.
  9. Y. Q. Zhou, Rings in which certain right ideals are direct summands of anni- hilators, J. Aust. Math. Soc., 73(3) (2002), 335-346.
  10. Z. M. Zhu, On general quasi-principally injective modules, Southeast Asian Bull. Math., 30(2) (2006), 391-397.
  11. Z. M. Zhu and Z. S. Tan, A note on quasi P-injective modules, Sci. Math. Jpn., (3) (2005), 461-464.
  12. 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.
  13. Zhanmin Zhu Department of Math., Jiaxing University, Jiaxing, Zhejiang Province,, China. e-mail: zhanmin [email protected]