期刊文献+

BiHom-双代数上的L-R Smash积

L-R Smash product on BiHom-bialgebra
下载PDF
导出
摘要 为了研究BiHom-双代数上的L-R Smash积,运用类比的思想方法,定义了BiHom-L-R Smash积,并通过计算给出了若干BiHom-L-R Smash积的相关性质.作为应用,得到了BiHom-L-R Smash积和张量余积形成BiHom-双代数的充分必要条件. It was aimed to study the L-R Smash product over BiHom-bialgebra.By applying the thought of analogy,the notion of BiHom-L-R Smash product over BiHom-bialgebra was defined and some properties of BiHom-L-R Smash product were given.Furthermore,as an application,a necessary and sufficient condition for the BiHom-L-R Smash product and tensor coproduct to form a BiHom-bialgebra was obtained.
作者 王盼盼 吕家凤 刘玲 WANG Panpan;LYU Jiafeng;LIU Ling(College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,China)
出处 《浙江师范大学学报(自然科学版)》 CAS 2021年第1期23-28,共6页 Journal of Zhejiang Normal University:Natural Sciences
基金 国家自然科学青年基金资助项目(11801515) 国家自然科学基金面上资助项目(11571316)。
关键词 BiHom-双代数 BiHom-L-R Smash积 BiHom-双模代数 BiHom-Hopf代数 BiHom-bialgebra BiHom-L-R Smash product BiHom-bimodule algebra BiHom-Hopf algebra
  • 相关文献

参考文献2

二级参考文献10

  • 1Makhlouf A and Silvestrov S D. Horn-algebras Structures. J. Gen. Lie theory Appl., 2008, 2:51-64.
  • 2Makhlouf A and Silvestrov S D. Hom-algebras and Hom-coalgebras. J. Algebra Appl., 2010,9:553- 589.
  • 3Caenepeel S and Goyvwerts I. Monoidal Hom-Hopf Algebras. Comm. Algebra, 2011, 39:2216-2240.
  • 4Montgomery S. Hopf Algebras and their Actions on Rings. CBMS, Lect. Notes, 1993.
  • 5Chen Y Y, Wang Z W and Zhang L Y. Integrals for Monoidal Hom-Hopf Algebras and their Appli- cations. J. Math. Phys., 2013, 54,073515.
  • 6Liu L and Shen B L. Radford's Biproducts and Yetter-Drinfeld Modules for Monoidal Hom-Hopf Algebras. J. Math. Phys., 2014, 55,031701.
  • 7Panaite F and Oystaeyen F V. L-R Smash Product for (Quasi-)Hopf Algebras. J.Algebra, 2007, 309:168-191.
  • 8Zhang L Y. L-R Smash Product for Bimodule Algebras. Progress in Natural Science, 2006, 16(6):580- 587.
  • 9郑乃峰.弱Hopf代数上的Smash双积(英文)[J].数学进展,2009,38(5):553-565. 被引量:10
  • 10ZHOU Xiao-yan LI Qiang ZHANG Liang-yun Department of Mathematics, Nanjing Agricultural University, Nanjing 210095, China.Duality theorem for weak L-R smash products[J].Applied Mathematics(A Journal of Chinese Universities),2010,25(4):481-488. 被引量:2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部