[1]焦争鸣,王永忠.广义Smash-双积L W ??RH的映射刻画[J].南京师大学报(自然科学版),2007,30(02):22-26.
　Jiao Zhengming,Wang Yongzhong.Mapping Descriptions for Generalized Smash-Biproduct[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(02):22-26.
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广义Smash-双积L W ??RH的映射刻画()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第30卷
期数:
2007年02期
页码:
22-26
栏目:
数学
出版日期:
2007-06-30

文章信息/Info

Title:
Mapping Descriptions for Generalized Smash-Biproduct
作者:
焦争鸣1;  王永忠1;  2
( 1. 河南师范大学数学与信息科学学院, 河南新乡453000)
( 2. 新乡师范高等专科学校数学系, 河南新乡453000 )
Author(s):
Jiao Zhengming1; Wang Yongzhong1; 2
1.Department of Mathematics,Henan Normal University,Xinxiang 453000,China
2. Departm ent ofM athem at ics, X inx iang N orm al College, X inxiang 453000, Ch in a
关键词:
广义Smash-双积;  相容映射系统;  双代数映射
Keywords:
genera lized sm ash b iproduct;  adm issib le m apping system;  bialgebra m ap
分类号:
O153
摘要:
作为Smash积和Smash余积的推广,S.Caenepeel,B.Ion,G.Militaru和S.Zhu给出了R-smash积,W-smash余积和广义Smash-双积的概念.本文讨论了广义Smash-双积的一些性质,通过引进广义相容映射系统概念,给出了广义Smash-双积的映射刻画.推广了D.E.Radford关于Smash-双积的相应结论.
Abstract:
A s the genera lization o f sm ash produc t and sm ash coproduc t, theR sm ash product, W - sm ash coproduc t and g eneralized sm ash b iproduct are introduced by S. caenepeel , B. Ion, G. M ilita ru and S. Zhu. In th is pape r, som e properties of g eneralized smash b iproduct are d iscussed, by introduc ing the con cept of generalized adm issib le m apping sy stem, tw om app ing descriptions for genera lized smash- biprod uct are g iven as w el.l

参考文献/References:

[ 1]  M o lnar R K. Sem i direct products ofH opf a lg ebras[ J]. J A lgebra, 1977, 47: 29 -51.
[ 2]  Radford D E. The structure o fH opf a lgebras w ith a pro jec tion[ J] . J Algebra, 1985, 92: 322- 347.
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[ 5]  W ang S, L i J. On tw isted sm ash produc ts for b im odule algebras and the Dr infe ld double[ J]. Comm Algebra, 1998, 26( 8):2 435 -2 444.
[ 6]  Caenepee l S, Ion B, M ilitaru G, et a.l The factorization prob lem and the sm ash b iproduct of algebras and coalgebras[ J].A lgebra and Repr Theory, 2000, 3: 19 -42.
[ 7]  Jiao Z. The quasitriangu lar structures for a class o f T - smash product H opf a lgebras[ J]. Israe l J ofM ath, 2005, 146: 125-148.
[ 8]  Jiao Z, W isbauer R. The b ra ided struc tures for W - smash coproduct H opf a lgebras[ J]. J A lgebra, 2005, 282: 474- 495.
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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10571045)、河南省教育厅基础研究基金( 20011100010)资助项目.
作者简介: 焦争鸣( 1956- ) , 教授, 博士, 主要从事H op f代数理论的教学与研究. Email:zm jiao@ henannu. edu. cn
更新日期/Last Update: 2013-05-05