JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (8): 6-12.doi: 10.6040/j.issn.1671-9352.0.2020.025

Previous Articles     Next Articles

Lie H-pseudoalgebras over triangular Hopf algebras

ZHANG Yong-feng, YANG Shi-lin*   

  1. College of Mathematics, Faculty of Science, Beijing University of Technology, Beijing 100124, China
  • Published:2020-07-14

Abstract: The purpose of this paper is to determine Lie H4-pseudoalgebra structures on a free left H4-module L of rank one, where H4 is the Sweedlers Hopf algebra.

Key words: H-pseudoalgebra, Lie H-pseudoalgebra

CLC Number: 

  • O153.3
[1] BEILINSON A, DRINFELD V. Chiral algebras[M]. Rhode Island: American Mathematical Society, 2004.
[2] RETAKH A. Unital associative pseudoalgebras and their representations[J]. Journal of Algebra, 2004, 277:769-805.
[3] BAKALOV B, D'ANDREA A, KAC V. Theory of finite pseudoalgebras[J]. Advances in Mathematics, 2001,162:1-140.
[4] ANDERSON F, FULLER K. Ring and categories of modules[M]. New York: Springer-Verlag, 1973.
[5] KOLESNIKOV P. Associative conformal algebras with finite faithful representation[J]. Advances in Mathematics, 2006, 202:602-637.
[6] KAC V. Vertex algebras for beginners[M]. Rhode Island: American Mathematical Society, 1998.
[7] KOLESNIKOV P. Conformal representations of Leibniz algebras[J]. Siberian Mathematical Journal, 2008, 49(3):429-435.
[8] WU Zhixiang. Graded left symmetric pseudoalgebras[J]. Communications in Algebra, 2015, 43:3869-3897.
[9] WU Zhixiang. Leibniz H-pseudoalgebras[J]. Journal of Algebra, 2015, 437:1-33.
[10] LODAY J, PIRASHVILI T. Universal enveloping algebras of Leibniz algebras and(co)homology[J]. Mathematische Annalen, 1993, 296:139-158.
[11] MONTGOMERY S. Hopf algebras and their actions on rings[M]. Rhode Island: American Mathematical Society, 1993.
[1] Yuru CUI,Yang CHENG. A kind of generalization of fine rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(6): 84-90.
[2] Jie WANG,Wenjing CHEN. On w-FPn-projective modules [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(6): 64-70.
[3] Wenjing CHEN,Wen GAO. Gorenstein FP-injective modules over Morita rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(4): 9-15.
[4] Liu ZHOU,Lei QIAO,Dan ZHAO. On w-IFP-flat modules and w-IFP-injective modules [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(2): 22-31.
[5] Dong SU. The module algebra structures of dihedral groups on the full matrix algebra of 2×2 [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(2): 14-21, 31.
[6] Cuiping ZHANG,Jiaojiao DONG,Yinyin YANG. Gorenstein FP-injective dimensions over formal triangular matrix rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(2): 8-13.
[7] Yao WANG,Xin LI,Yanli REN. *-zip rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(2): 1-7.
[8] Hua SUN,Jian ZOU,Ruju ZHAO. Automorphism group of Green algebra of 8-dimensional Radford Hopf algebra [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(11): 61-70.
[9] Longjiao YANG,Hailou YAO. Gorenstein weak projective comodules over a coalgebra [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(8): 43-47, 56.
[10] Cuiping ZHANG,Wenfei ZHANG,Fuxia YANG. $\mathscr{X}$-strongly n-Gorenstein projective modules [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(8): 26-32, 42.
[11] Xianhong YANG,Guoliang TANG,Zhenxing DI. Recollements of Gorenstein flat cotorsion modules over triangular matrix rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(8): 18-25.
[12] Mengge GUAN,Hainan ZHOU,Junchao WEI. Some equivalent characterizations on EP elements [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(8): 13-17.
[13] Yao WANG,Jianghuan CHEN,Yanli REN. Quasi-J-clean rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(6): 1-8.
[14] YIN Jun-qi, YANG Gang. Gorenstein DG-injective complexes [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(10): 28-33.
[15] ZHANG Cui-ping, LIU Ya-juan. Strongly Gorenstein C-injective module and strongly Gorenstein C-flat module [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(10): 24-30.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!