[1] Wang Ailan*, Cao Qinglu,. Generalized Regular Ring [J]. Journal of Southeast University (English Edition), 2001, 17 (2): 81-83. [doi:10.3969/j.issn.1003-7985.2001.02.020]
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Generalized Regular Ring(
)
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 17
- Issue:
- 2001 2
- Page:
- 81-83
- Research Field:
- Mathematics, Physics, Mechanics
- Publishing date:
- 2001-12-30
Info
- Title:
- Generalized Regular Ring
- Author(s):
- Wang Ailan*; Cao Qinglu
- Institute of Electronic Technology, PLA Information Engineering University, Zhengzhou 450004, China
- Keywords:
- CR-finitely generated module; CR-finitely presented module; CR-regular ring; CR-FP injective module
- PACS:
- O153.3
- DOI:
- 10.3969/j.issn.1003-7985.2001.02.020
- Abstract:
- Using module class CR={M∠x∈M, xR⊗T=0, ∠T∈I }, we introduced the concepts of CR-finitely generated module, CR-finitely presented module and CR-regular ring. We also discussed the criterion for CR-regular ring, and the relations between CR-regular ring and CR-FP injective module.
References:
[1] B.Stenstrom, Ring of quotients, Springer-Verlag, Berlin Heidelberg-New York, 1975
[2] A.L.Wang, Some equivalent characterization of CR-coherent ring, Journal of the Institute of Electronic Technology, vol.5, no.1, pp.1-6, 1993
Memo
- Memo:
- * Born in 1966, female, master.
Last Update: 2001-06-20