关于L P-内射模与L-P-平坦模On L P injective Modules and L P flat Modules
周德旭
摘要(Abstract):
引进LP内射模与LP平坦模的概念, 给出了它们的特征刻划, 并用这二类模刻划了LPcoherent环、LP正则环、LPP环和LPF环
关键词(KeyWords): 内射模;平坦模;环
基金项目(Foundation):
作者(Author): 周德旭
参考文献(References):
- 1 Fay T H, Joubert SV. Relative injectivity. Chinese J. Math., 1994, 22: 65~94
- 2 周德旭, 薛卫民. 关于L内射模与L投射模. 福建师范大学学报 (自然科学版), 1997, 13 (4):24~29
- 3 周德旭. 关于L正则环, 南京大学学报数学半年刊, 1998, 15 (2): 266~272
- 4 Anderson FW, Fuller K R. Rings and Categories ofModulcs. 2nd Edition. New York: Springverlag, 1992.
- 5 Rotm an JJ. An Introduction to Hom ologicalAlgebra. LondonNew York: Academ ic Press, 1979.
- 6 Colby R R. Rings w hich have flat injective m odules. J. Algebra, 1975, 35: 239~252
- 7 Xue Weim in. On PPrings. Kobe J. Math., 1990 (7): 77~80
- 8 Jndrup S. PPrings and finitely generated flat ideals. Proc. AMS, 1971, 28: 431~435
- 9 GoodearlK R. Ring Theory. New York: MarcelDekker, 1976.