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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 192, Number 1, Pages 3–22
DOI: https://doi.org/10.4213/tmf9188 (Mi tmf9188) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A generalization of Lie H-pseudo-bialgebras

Qinxiu Suna, Fang Lib

a Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou, China
b Department of Mathematics, Zhejiang University, Hangzhou, China
Full-text PDF (481 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9188
Abstract: We investigate Hom–Lie H-pseudo-bialgebras. We present some examples and a theorem that allows constructing these new algebraic structures. We consider coboundary Hom–Lie H-pseudo-bialgebras and the corresponding classical Hom–Yang–Baxter equations.
Keywords: Hom–Lie bialgebra, Hom–Lie H-pseudo-bialgebra, classical Hom–Yang–Baxter equation, Hom-algebra.
Funding agency Grant number
Zhejiang Provincial Natural Science Foundation of China LQ13A010018
National Natural Science Foundation of China 11226069
11401530
This research is supported by the Natural Science Foundation of Zhejiang Province of China (Grant No. LQ13A010018) and the National Natural Science Foundation of China (Grant Nos. 11226069 and 11401530).
Received: 08.03.2016
Revised: 16.11.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 192, Issue 1, Pages 939–957
DOI: https://doi.org/10.1134/S0040577917070017
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Qinxiu Sun, Fang Li, “A generalization of Lie H-pseudo-bialgebras”, TMF, 192:1 (2017), 3–22; Theoret. and Math. Phys., 192:1 (2017), 939–957
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf9188
  • https://doi.org/10.4213/tmf9188
  • https://www.mathnet.ru/eng/tmf/v192/i1/p3
    • This publication is cited in the following 2 articles:
    1. Linlin Liu, Senlin Zhang, Huihui Zheng, “On infinitesimal Hom-H-pseudobialgebras”, Filomat, 38:1 (2024), 271  crossref
    2. Q. Sun, Akinocho Kamalou Dine Adissa, “The cohomology structure of hom-h-pseudoalgebras”, Bull. Braz. Math. Soc., 50:1 (2019), 211–231  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:383
    Full-text PDF :120
    References:60
    First page:9
     
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