[1]许 娣,黄福生,李 扬,等.关于半模复形同调理论的若干研究[J].江西师范大学学报(自然科学版),2016,40(03):258-262.
　XU Di,HUANG Fusheng,LI Yang,et al.Some Studies of Homology Theory on Semimodule Complex[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(03):258-262.
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关于半模复形同调理论的若干研究()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2016年03期
页码:
258-262
栏目:
出版日期:
2016-07-01

文章信息/Info

Title:
Some Studies of Homology Theory on Semimodule Complex
作者:
许 娣; 黄福生; 李 扬; 江小霞
江西师范大学数学与信息科学学院,江西 南昌 330022
Author(s):
XU Di; HUANG Fusheng; LI Yang; JIANG Xiaoxia
College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
半模正合列;  复形;  连接同态
Keywords:
the exact sequences of semimodules;  complex;  connecting homomorphism
分类号:
O 153.3
文献标志码:
A
摘要:
在半模范畴中,针对半环和半模的加法都无逆运算,利用泛代数的思想,在同余的观点下定义了半模复形和复形链映射及复形同调函子,给出了一个半模复形为正合列的条件,并把环模上的连接同态定理在一定的条件下推广到了半模上,且得到了较弱的半模复形的长正合列定理.
Abstract:
In the category of semimodules,the concept of semimodule complex and chain mapping and complex homology functor are defined in view of congruence using the idea of universal algebra,for the addition of the semiring and semimodule are no inverse operation,also a condition of complex to be exact sequences is given.The connecting homomorphism theorem is extended to the semimodules under certain conditions,and got the weakly long exact sequence theorem of semimodules complex.

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备注/Memo

备注/Memo:
收稿日期:2015-12-23基金项目:国家自然科学基金(11261021)资助项目.通信作者:黄福生(1962-),男,江西抚州人,教授,主要从事半环和半模理论的研究.
更新日期/Last Update: 1900-01-01