Generalized Crossed Products and L-R Smash Products of Multiplier Hopf Algebras

doi:10.13371/j.cnki.chin.q.j.m.2014.02.019

Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (2): 283-291.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.019

Previous Articles Next Articles

Generalized Crossed Products and L-R Smash Products of Multiplier Hopf Algebras

1. School of Mathematics and Statistics, Henan University of Science and Technology 2. Department of Mathematics, Zhejiang University 3. College of Mathematics and Information Science, Henan Polytechnic University

Received:2012-12-19 Online:2014-06-30 Published:2023-04-10
About author:ZHAO Li-hui(1979-), female, native of Luoyang, Henan, a lecturer of Henan University of Science and Technology, Ph.D., engages in noncommutative algebra; WANG Cai-hong(1980-), female, native of Zhengzhou, Henan, a lecturer of Henan Polytechnic University, Ph.D., engages in noncommutative algebra.
Supported by:
Supported by the Scientific Research Foundation for Doctoral Scientists of Henan University of Science and Technology(09001303)； Supported by the National Natural Science Foundation of China(11101128)

Abstract

Abstract: In this paper we generalize the notions of crossed products and L-R smash products in the context of multiplier Hopf algebras. We use comodule algebras to define generalized diagonal crossed products, L-R smash products, two-sided smash products and two-sided crossed products and prove that they are all associative algebras. Then we show the isomorphic relations of them.

Key words: multiplier Hopf algebra, diagonal crossed product, L-R smash product, two-sided smash product, two-sided crossed product

CLC Number:

O153.3

ZHAO Li-hui, WANG Cai-hong. Generalized Crossed Products and L-R Smash Products of Multiplier Hopf Algebras[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(2): 283-291.

[1]	CHEN Quan-guo, TANG Jian-gang. Group Twisted Tensor Biproducts over Hopf Group Coalgebras [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(2): 274-282.
[2]	ZHAO Yu- e, DU Xian-neng. On Pseudo Small Injective Modules [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 532-538.
[3]	ZHANG Wan-ru, PU Zhao-nian. On Skew Power-serieswise nil-Armendariz Rings [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 383-389.
[4]	SHANG Wen-liang. Notes on Strongly n-Gorenstein Projective, Injective and Flat Modules [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(3): 389-396.
[5]	LU Bo. The Excellent Extensions of Rings and Copure Dimensions [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(1): 128-132.
[6]	LI Yun-hui, TANG Gao-hua. Zero-divisor Graphs for Direct Products of Rings [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(4): 621-627.
[7]	DUAN Jun-sheng, GUO Ai-ping, YUN Wen-zai. Inverses and Powers of Matrices over an Incline [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 383-387.
[8]	WANG Xiu-li, ZHOU Mao-yuan, CHEN Zhi-yin. Quasi-principally k-projective Semimodules [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 213-216.
[9]	WANG Yong, ZHANG Liang-yun, CAI Zhi-min. The Structure Theorem for Module Coalgebras [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 85-92.
[10]	LI Yun-hui, TANG Gao-hua. Ideal-based Zero-divisor Graphs of Non-commutative Rings [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 125-130.
[11]	NIU Yu-qi, MENG Xiao-ran, YUAN Jian. Extended l∗-Module [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(3): 390-398.
[12]	ZHANG Li-hong, XIN Da-wei. (Inco) Projective Modules of Relatively Hereditary Torsion Theroy [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 81-86.
[13]	WEI Zong-li, QU He-mei. Extended Group of the Subgroup G_r in Linear Group Over the Principal Ideal Ring [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(4): 600-605.
[14]	FAN Wei-li, WANG Hui. Special Properties of Formal Triangular Matrix Rings [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(4): 625-632.
[15]	WANG Yong-zhong, LIU Rui-hua. On the Braided Monoidal Categories of T-smash Products A><_TH [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 120-126.

Generalized Crossed Products and L-R Smash Products of Multiplier Hopf Algebras

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments