Some Results on Rota–Baxter Monoidal Hom-Algebras

被引：1
|
作者：
Tianshui Ma
Huihui Zheng
机构：
[1] Henan Normal University,Department of Mathematics School of Mathematics and Information Science
[2] Henan Normal University,Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Mathematics and Information Science
来源：
Results in Mathematics | 2017年 / 72卷
关键词：
Rota–Baxter monoidal Hom-(co)algebra; Rota–Baxter monoidal Hom-system; monoidal Hom-dendriform algebra; Radford biproduct; Rota–Baxter monoidal Hom-bialgebra; 16T05; 17B05; 16W99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give constructions of Rota–Baxter monoidal Hom-(co)algebras from Hom-Hopf module (co)algebras, and then introduce the concept of Rota–Baxter monoidal Hom-bialgebras. Furthermore, we consider the relations between Rota–Baxter monoidal Hom-systems and monoidal Hom-dendriform algebras, and also derive the structures of pre-Lie Hom-(co)algebras via Rota–Baxter monoidal Hom-(co)algebras of different weight.
引用
收藏
页码：145 / 170
页数：25
相关论文
共 50 条
  • [21] Morphisms Cohomology and Deformations of Hom-algebras
    Arfa, Anja
    Ben Fraj, Nizar
    Makhlouf, Abdenacer
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2018, 25 (04) : 589 - 603
  • [22] Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras
    Chen, Dan
    Peng, Xiao-Song
    Zargeh, Chia
    Zhang, Yi
    ADVANCES IN MATHEMATICAL PHYSICS, 2020, 2020
  • [23] DEFORMATIONS OF RELATIVE ROTA-BAXTER OPERATORS ON HOM-JACOBI-JORDAN ALGEBRAS
    Anithéou, Jules
    Attan, Sylvain
    Kangni, Kinvi
    arXiv, 2023,
  • [24] Characteristics of Rota?Baxter algebras
    Yu, Houyi
    Guo, Li
    COMMUNICATIONS IN ALGEBRA, 2019, 47 (05) : 2157 - 2171
  • [25] MONOIDAL HOM-HOPF ALGEBRAS
    Caenepeel, S.
    Goyvaerts, I.
    COMMUNICATIONS IN ALGEBRA, 2011, 39 (06) : 2216 - 2240
  • [26] Regular Hom-algebras admitting a multiplicative basis
    Calderon Martin, Antonio J.
    GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (04) : 555 - 565
  • [27] Rota-Baxter algebras and dendriform algebras
    Ebrahimi-Fard, Kurusch
    Guo, Li
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2008, 212 (02) : 320 - 339
  • [28] Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras
    Sun, Bing
    Chen, Liangyun
    JOURNAL OF GEOMETRY AND PHYSICS, 2015, 98 : 400 - 413
  • [29] Rota–Baxter Operators on Quadratic Algebras
    Pilar Benito
    Vsevolod Gubarev
    Alexander Pozhidaev
    Mediterranean Journal of Mathematics, 2018, 15
  • [30] On differential Rota-Baxter algebras
    Guo, Li
    Keigher, William
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2008, 212 (03) : 522 - 540
12345