[1]邹雅文,王颂生,黄 艳,等.关于半模正合列的研究[J].江西师范大学学报(自然科学版),2017,(04):372-376.
 ZOU Yawen,WANG Songsheng,HUANG Yan,et al.The Study on Exact Sequence of Semi-Module[J].Journal of Jiangxi Normal University:Natural Science Edition,2017,(04):372-376.
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关于半模正合列的研究()
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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:
期数:
2017年04期
页码:
372-376
栏目:
出版日期:
2017-09-01

文章信息/Info

Title:
The Study on Exact Sequence of Semi-Module
作者:
邹雅文王颂生黄 艳李 娟
江西师范大学数学与信息科学学院,江西 南昌 330022
Author(s):
ZOU YawenWANG SongshengHUANG YanLI Juan
College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
正合列 同态 交换图
Keywords:
exact sequence homo-morphism commutative diagram
分类号:
O 153.3
文献标志码:
A
摘要:
利用同余方式定义了半模正合列,探讨了半模正合列的若干性质,并给出了不同条件下半模正合列的几个等价刻画; 得到了半模正合列中类似于“五引理”和“三引理”的结论.
Abstract:
The notion of the exact sequences of semi-module over semi-rings is introduced by the congruence and some properties of the exact sequences of semi-modules are discussed,and several equivalent characterizations of semi-exact sequences under different conditions are obtained.The conclusion of the "five lemma" and "three lemma" which are similar to those in the semi-modules exact column is obtained.

参考文献/References:

[1] Golan J S.Semirings and their applications [M].New York:Kluwer Academic Publishers,1999.
[2] 安德森F W,富勒尔K R.环与模范畴 [M].北京:北京科学出版社,2008:39-50.
[3] Al-Thani H M J.Characterization of projective and k-projective semimodules [J].IJMMS,2002,32(7):439-448.
[4] Al-Thani H M J.Flat semimodules [J].International Journal of Mathematical Sciences,2004,2004(17):873-880.
[5] 陈培慈,周媛兰.半模的张量积 [J].数学学报,2002,45(1):139-150.
[6] 甘爱萍,黄福生,陈培慈.半模短正合列 [J].江西师范大学学报:自然科学版,2003,27(2):131-134.
[7] 敖忠平,蔡述平,宋海燕.半模的Z-同态与正合列 [J].新疆师范大学学报:自然科学版,2007,26(4):18-21.
[8] Chaudhari J N,Bonde D R.On exact sequence of semimodules over semirings [J].Isrn Algebra,doi:10.1155/2013/156485.
[9] Wilding D,Johnson M.Kambites M.Exact rings and semirings [J].Journal of Algebra,2013,388(4):324-337.
[10] Abuhlail J.Exact sequences of commutative monoids and semi-modules [J].Homology,Homotopy and Applications,2014,16(1):199-214.
[11] Song Xianmei,Chen Jianlong.Note on pure projective modules [J].Journal of Southeast University,2005,21(4):506-508.
[12] Bhambri S K,Duber M K.Exact,proper exact sequences and projective semimodules [J].Internationl of Algebra,2010,4(15):709-719.
[13] 曾慧平,黄福生,肖贤民.i-内射半模 [J].江西师范大学学报:自然科学版,2007,31(5):488-491.

备注/Memo

备注/Memo:
收稿日期:2017-01-15基金项目:国家自然科学基金(11261021)和江西省自然科学基金(2014BAB201018)资助项目.通信作者:王颂生(1959-),男,江西铜鼓人,副教授,主要从事半环理论的研究.E-mail:sswang818@126.com
更新日期/Last Update: 1900-01-01