GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS

被引：15
|
作者：
Alves, Marcelo M. S. [1 ]
Batista, Eliezer [2 ]
Dokuchaev, Michael [3 ]
Paques, Antonio [4 ]
机构：
[1] Univ Fed Parana, Dept Matemat, BR-81531980 Curitiba, Parana, Brazil
[2] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
[3] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP, Brazil
[4] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2016年 / 101卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
partial group action; partial Hopf action; crossed product; twisted partial action; PARTIAL CROSSED-PRODUCTS; ENVELOPING ACTIONS; ALGEBRAS; (CO)ACTIONS;
D O I：
10.1017/S1446788715000774
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we review some properties of twisted partial actions of Hopf algebras on unital algebras and give necessary and sufficient conditions for a twisted partial action to have a globalization. We also elaborate a series of examples.
引用
收藏
页码：1 / 28
页数：28
相关论文
共 50 条
  • [21] Partial Group (Co)Actions of Hopf Group Coalgebras
    Chen, Quan-guo
    Wang, Ding-guo
    FILOMAT, 2014, 28 (01) : 131 - 151
  • [22] Partial representations of Hopf algebras
    Alves, Marcelo Muniz S.
    Batista, Eliezer
    Vercruysse, Joost
    JOURNAL OF ALGEBRA, 2015, 426 : 137 - 187
  • [23] Partial Hopf module categories
    Alvares, Edson R.
    Alves, Marcelo M. S.
    Batista, Eliezer
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2013, 217 (08) : 1517 - 1534
  • [24] Twisted partial actions and extensions of semilattices of groups by groups
    Dokuchaev, Mikhailo
    Khrypchenko, Mykola
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2017, 27 (07) : 887 - 933
  • [25] Partial representation of partial twisted smash products
    Guo, Shuangjian
    Wang, Shengxiang
    Wang, Long
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2016, 89 (1-2): : 23 - 41
  • [26] Crossed products by twisted partial actions and graded algebras
    Dokuchaev, M.
    Exel, R.
    Simon, J. J.
    JOURNAL OF ALGEBRA, 2008, 320 (08) : 3278 - 3310
  • [27] Globalization of partial group actions on semiprime Lie algebras and unital Jordan algebras
    Dokuchaev, Mikhailo
    Rodriguez, Jose L. Vilca
    JOURNAL OF ALGEBRA, 2023, 636 : 510 - 532
  • [28] The Monoidal Hom-Hopf Algebra Arising From Partial Hom-Actions
    Jia, Ling
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2024, 50 (03)
  • [29] PARTIAL GROUPOID ACTIONS: GLOBALIZATION, MORITA THEORY, AND GALOIS THEORY
    Bagio, Dirceu
    Paques, Antonio
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (10) : 3658 - 3678
  • [30] ON GENERALIZED PARTIAL TWISTED SMASH PRODUCTS
    Guo, Shuangjian
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (03) : 767 - 782
12345