全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

形式幂级数环的表现维数

Keywords: 形式幂级数环,表现维数,凝聚环

Full-Text   Cite this paper   Add to My Lib

Abstract:

为了研究形式幂级数环的表现维数,基于对环与模的有限表现维数的研究,运用同调代数上的理论与方法,得到了R、Rx为凝聚环时,模的表现维数之间的关系以及环的表现维数之间的关系等结论.

References

[1]  COSTAD L. Parameterizing families of non-noetherian rings [J]. Communications in Algebra, 1994, 22 (10):3997-4011.
[2]  XUE Wei-min. On n-presented modules and almost excellent extensions [ J ]. Communications in Algebra,1999, 27(3): 1091-1102.
[3]  ZHOU De-xu, GONG Zhi-wei. On presented dimensions of modules and rings [ J ]. International Journal of Mathematics and Mathematical Sciences, 2010: 1-13.doi: 10. 1155 / 2010 / 256267.
[4]  李元林. 有限表现维数的换环定理[ J]. 南京大学学报: 数学半年刊, 1990, 7(1): 75-84.LI Yuan-lin. Some theorems on chane of rings of the finitely presented dimension [ J ]. Journal of Nanjing-University: Mathematical Biquarterly, 1990, 7 ( 1 ): 75-84. (in Chinese)
[5]  周伯壎. 同调代数[M]. 北京: 科学出版社, 1988.
[6]  程福长, 易忠. 环的同调维数[M]. 桂林: 广西师范大学出版社, 2000.
[7]  李元林. F. P. 鄄维数的合冲定理[ J]. 数学研究与评论,1993, 13(2): 283-288.
[8]  LI Yuan-lin. Syzygy theory of F. P. -dimension [ J ].Journal of Mathematical Research and Exposition, 1993,13(2): 283-288. (in Chinese)
[9]  郭莹, 姚海楼. 多项式环的表现维数[J]. 山东大学学报: 理学版, 2015, 50(4): 71-75.GUO Ying, YAO Hai-lou. The presented dimensions of polynomial rings [ J ]. Journal of Shandong University:Natural Science, 2015, 50(4): 71-75. (in Chinese)
[10]  KANG Na, YAO Hai-lou. On the filtration dimensions of a standardly stratified algebra and its polynomial algebra[J]. Journal of Mathematical Research and Exposition, 2006,26(3): 440-450.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133