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作品数:20被引量:20H指数:3
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相关作者:陈建龙陈菊珍王栓宏刘玲庄桂芬更多>>
相关机构:东南大学复旦大学西北师范大学南京信息工程大学更多>>
相关期刊:《数学杂志》《Journal of Southeast University(English Edition)》《南京大学学报(数学半年刊)》《Acta Mathematica Sinica,English Series》更多>>
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Hopf π-余代数上Doi-Hopf模的Maschke型定理(英文)
《南京大学学报(数学半年刊)》2010年第2期159-173,共15页陈菊珍 石小平 
Supported by the Specialized Research Fund for the Doctoral Program of Higher Education (20060286006);the FNS of CHINA(10571026);the Southeast University Fund(XJ0707273)
带有Doi-Hopf π-数据(H,A,C)的Doi-Hopf模作为Hopf π-余模与Doi-Hopf模概念的推广由王栓宏引进.本文证明了Doi-Hopf π-模上的Maschke型定理.Maschke型定理成立的一个充分条件是:针对讨论的Doi-Hopf π-数据(H,A,C)存在规范π-积分.
关键词:规范π-积分 DOI-HOPF Π-模 MASCHKE型定理 
Quasi-Armendariz Modules被引量:1
《Journal of Mathematical Research and Exposition》2010年第4期734-742,共9页Cui Ping ZHANG Jian Long CHEN 
Supported by the National Natural Science Foundation of China (Grant No.10571026);the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20060286006) ;Science Foundation for Youth Scholars of Northwest Normal University (Grant No.NWNU-LKQN-08-1)
For a right R-module N, we introduce the quasi-Armendariz modules which are a common generalization of the Armendariz modules and the quasi-Armendariz rings, and investigate their properties. Moreover, we prove that N...
关键词:Armendariz modules quasi-Armendariz rings quasi-Armendariz modules quasiBaer modules. 
On Corepresentations of Multiplier Hopf Algebras
《Acta Mathematica Sinica,English Series》2010年第6期1087-1114,共28页Shuan-hong WANG Hai-xing ZHU 
Supported by National Natural Science Foundation of China (Grant No. 10871042); the Research Fund for the Doctoral Program of Higher Education (Grant No. 20060286006); Natural Science Foundation of Jiangsu Province (Grant No. BK2009258);the Key Project of Chinese Ministry of Education of China (Grant No.108154)
We present a general construction producing a unitary corepresentation of a multiplier Hopf algebra in itself and study RR-corepresentations of twisted tensor coproduct multiplier Hopf algebra. Then we investigate som...
关键词:(group-cograded) multiplier Hopf algebra copresentation crossed module covariant module Hopf group-coalgebra twisted tensor coproduct 
π-quasitriangular group-cograded multiplier Hopf algebras
《Journal of Southeast University(English Edition)》2009年第4期552-556,共5页杨涛 王栓宏 
Specialized Research Fund for the Doctoral Program of Higher Education(No20060286006);the National Natural Science Foundation of China(No10871042)
Let G be a group and (A, B) be a pair of multiplier Hopf algebras, where B is regular G-cograded. Let π be a crossing action of G on B, D^π=A^cop∝B=+p∈GDπ^p with Dπ^p=A^cop∝Bp, is the Drinfeld double of the ...
关键词:multiplier Hopf algebra group-cograded Drinfeld double quasitriangular 
Monoidal Entwined模范畴上的张量积恒等式(英文)
《数学杂志》2009年第5期604-608,共5页刘玲 
Supported by the Specialized Research Fund for the Doctoral Program of Higher Education (20060286006);the FNS of China (10571026)
本文研究了monoidal entwined模范畴上的张量积恒等式.利用了monoidal entwined模范畴的性质及Doi-Hopf模范畴上的张量积恒等式的研究方法,获得了monoidal entwined模范畴上的一些张量积恒等式,并证明了entwined模范畴有足够的内射对象...
关键词:Monoidal entwined模 DOI-HOPF模 张量积恒等式 
态射和的Drazin逆被引量:5
《数学物理学报(A辑)》2009年第3期538-552,共15页陈建龙 庄桂芬 魏益民 
国家自然科学基金(10571026,10871051);高校博士点基金(20060286006);上海市教委基金资助
设C是加法范畴,态射φ,η:X→X是C上的态射。若φ,η具有Drazin逆且φη=0,则φ+η也具有Drazin逆。若φ具有Drazin逆φ~D且1x+φ~Dη可逆,作者讨论f=φ+η的Drazin逆(群逆)并且给出f^D(f~#)=(1x+φDη)^(-1)φ~D的充分必要条件。最后,...
关键词:DRAZIN逆 群逆 态射 
齐次半局部群环(英文)
《南京大学学报(数学半年刊)》2009年第1期51-55,共5页昝立博 陈建龙 
Supported by the Sicence and Research Foundation of Nanjing Universityof Information Science & Technology(No.S8108058001);supported by the National Natural Science Foundation of China(No.10571026);the Natural Science Foundation of Jiangsu Province(No.BK2005207);theSpecialized Research Fund for the Doctoral Program of Higher Education(20060286006)
R是具有单位元的结合环.环R称为齐次半局部环是指R/J(R)是单Artinian环,其中J(R)是R的Jacobson根.本文研究群环RG的齐次半局部性.
关键词:半局部环 群环 齐次半局部环 
Hopf Algebras in Group Yetter-Drinfel'd Categories
《Journal of Mathematical Research and Exposition》2009年第2期266-274,共9页SHEN Bing Liang WANG Shuan Hong 
the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20060286006); the National Natural Science Foundation of China (No. 10571026).
In this note we first show that if H is a finite-dimensional Hopf algebra in a group Yetter-Drinfel'd category L^LyD(π) over a crossed Hopf group-coalgebra L, then its dual H^* is also a Hopf algebra in the categ...
关键词:Crossed Hopf group-coalgebra group-comodulelike object group- (co) module (co) algebra. 
Asymptotic bound on binary self-orthogonal codes
《Science China Mathematics》2009年第4期631-638,共8页DING Yang Department of Mathematics, Southeast University, Nanjing 210096, China 
supported by the China Scholarship Council, National Natural Science Foundation of China(Grant No.10571026);the Cultivation Fund of the Key Scientific and Technical Innovation Project of Ministry of Education of China;the Specialized Research Fund for the Doctoral Program of Higher Education (GrantNo. 20060286006)
We present two constructions for binary self-orthogonal codes. It turns out that our constructions yield a constructive bound on binary self-orthogonal codes. In particular, when the in-formation rate R = 1/2, by our ...
关键词:algebraic geometry codes concatenated codes Gilbert-Varshamov bound Reed-Muller codes self-dual basis self-orthogonal codes 11T71 
Weak M-Armendariz rings
《Journal of Southeast University(English Edition)》2009年第1期142-146,共5页张翠萍 陈建龙 
The National Natural Science Foundation of China (No.10571026);the Specialized Research Fund for the Doctoral Program of Higher Education of China (No.20060286006)
For a monoid M, this paper introduces the weak M- Armendariz rings which are a common generalization of the M- Armendariz rings and the weak Armendariz rings, and investigates their properties. Moreover, this paper pr...
关键词:semicommutative rings M-Armendariz rings weak Armendariz rings weak M-Armendariz rings 
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