Some Applications of ■-injective Envelopes
■-内射包络的一些应用(英文)
摘要
As applications of L-injective envelopes, we study some properties of the homomorphism of two modules which have isomorphic L-injective envelopes.
作为■-内射包络的应用,本文主要研究具有同构的■-内射包络的模之间的同态的若干性质.
基金
the National Natural Science Foundation of China (A0324656)
参考文献12
-
1ANDERSON F W, FULLER K R. Rings and Categories of Modules [M]. 2nd Edition; Spring-Verlag: NewYork, 1992.
-
2EKLOF P C, TRLIFAJ J. Covers induced by Ext [J]. J. Algebra, 2000, 231: 640-651.
-
3ENOCHS E E. Injective and flat covers, envelopes and resolvents [J]. Israel J. Math., 1981, 39: 189-209.
-
4ENOCHS E E. Torsion free coveering modules [J]. Proc. Amer. Math. Soc., 1963, 14: 884-889.
-
5ENOCHS E E. Torsion free covering modules Ⅱ [J]. Arch. Math(basel)., 1971, 22: 37-52.
-
6ENOCHS E E, ROZAS J R G, OYNARTE L. Covering morphisms [J]. Comm. Algebra, 2000, 28: 3823-3835.
-
7ENOCHS E E, JENDA O M G. Relative Homological Algebra [M]. Walter de Gruyter GmbH, 2000.
-
8FAY T H, JOUBERT S V. Relative injectivity [J]. Chinese J. Math., 1994, 22: 65-94.
-
9XUE W. Injective envelope and flat covers of modules over a commutative ring [J]. J. Pure Appl. Algebra,1996, 109: 213-220.
-
10XUE W. Rings with Morita Duality [M]. Lect. Notes Math., 1523, Springer-Verlag: Berlin, Heidelberg and New York, 1992.
-
1许天周,蔡涛,李炳照.Injective Envelopes of a Hilbert C~*Module[J].Journal of Beijing Institute of Technology,2001,10(2):119-124.
-
2蒋方明,陈建龙.内射模的t－平坦性[J].数学进展,1996,25(3):263-269.
-
3樊正恩.平坦模与内射模对偶性的一个注记[J].重庆文理学院学报（自然科学版）,2007,26(3):17-18.
-
4殷晓斌,吴俊.P-内射模的某些研究[J].安徽师范大学学报（自然科学版）,2000,23(1):11-13. 被引量：13
-
5任伟.模的Cotorsion包络与VN-正则环[J].西北师范大学学报（自然科学版）,2009,45(1):21-23.
-
6余祖俊,吴俊.small-内射模的某些研究[J].安徽师范大学学报（自然科学版）,2009,32(4):325-327. 被引量：4
-
7俱鹏岳,王欣欣.关于FP-内射覆盖的几点注记[J].绍兴文理学院学报,2010,30(7):17-20.
-
8梁茸茸.n-D-内射模与n-D-平坦模[J].甘肃科学学报,2009,21(2):17-20. 被引量：4
-
9辛林.具有Krull维数的半素环[J].福建师范大学学报（自然科学版）,1990,6(1):1-6.
-
10黄兆泳.Noether半局部环上的G－Matlis对偶模[J].广西师范大学学报（自然科学版）,1994,12(2):21-25.
