首页 | 本学科首页   官方微博 | 高级检索  
     

强Gorenstein投射和内射复形(英文)
引用本文:张东东,欧阳柏玉. 强Gorenstein投射和内射复形(英文)[J]. 湖南师范大学自然科学学报, 2012, 0(4): 1-5
作者姓名:张东东  欧阳柏玉
作者单位:浙江师范大学数理与信息工程学院;湖南师范大学数学与计算机科学学院
基金项目:国家自然科学基金资助项目(10901141)
摘    要:分别研究了Gorenstein投射和内射复形的特殊情况:强Gorenstein投射复形和强Gorenstein内射复形.证明了复形C是Gorenstein投射复形当且仅当它是强Gorenstein投射复形的直和项.同时,证明了若R在左Noetheri-an环下,下有界复形C是强Gorenstein内射复形当且仅当C是正合的且每一项Ci是强Gorenstein内射R-模.

关 键 词:强Gorenstein投射(内射)复形  Gorenstein投射(内射)复形

Strongly Gorenstein Projective and Injective Complexes
Affiliation:ZHANG Dong-dong1,2,OUYANG Bai-yu2(1.Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China;2.College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China)
Abstract:A special case of Gorenstein projective,and injective complexes,which are called strongly Gorenstein projective and injective complexes,are studied respectively.It is proved that a complex C is a Gorenstein projective if and only if it is a direct summand of a strongly Gorenstein projective complex.Meanwhile,it is shown that,over a left Noetherian ring,a bounded below complex C of left R-modules is strongly Gorenstein injective if and only if C is an exact sequence and Ci is a strongly Goren-stein injective R-module for all i∈Z.
Keywords:strongly Gorenstein projective(injective) complex  Gorenstein projective(injective)complex
本文献已被 CNKI 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号