数学季刊 ›› 2026, Vol. 41 ›› Issue (2): 139-146.doi: 10.13371/j.cnki.chin.q.j.m.2026.02.003

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李前余代数上的罗巴算子

  

  1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
  • 收稿日期:2025-07-17 出版日期:2026-06-30 发布日期:2026-06-30
  • 作者简介:CHENG Yong-sheng (1973-), male, native of Lankao, Henan, professor of Henan University, engages in Lie algebra; CUI Ya-xin (2001-), female, native of Jiaozuo, Henan, master of Henan University, engages in Lie algebra; DING Wen-jing (2001-), native of Luoyang, Henan, master of Henan University, engages in Lie algebra; WU Lin-li (1991-), native of Jiaozuo, Henan, master of Henan University, engages in Lie algebra.
  • 基金资助:
    Supported by the National Science Foundation of China (Grant Nos. 12371026 and 11771122).

Rota-Baxter Operators on pre-Lie Coalgebras

  1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
  • Received:2025-07-17 Online:2026-06-30 Published:2026-06-30
  • About author:CHENG Yong-sheng (1973-), male, native of Lankao, Henan, professor of Henan University, engages in Lie algebra; CUI Ya-xin (2001-), female, native of Jiaozuo, Henan, master of Henan University, engages in Lie algebra; DING Wen-jing (2001-), native of Luoyang, Henan, master of Henan University, engages in Lie algebra; WU Lin-li (1991-), native of Jiaozuo, Henan, master of Henan University, engages in Lie algebra.
  • Supported by:
    Supported by the National Science Foundation of China (Grant Nos. 12371026 and 11771122).

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摘要： In the present paper, we mainly study Rota-Baxter operators (of weight zero) on pre-Lie coalgebras. In particular, the invertible Rota-Baxter operators on pre-Lie coalgebras is well studied, and some fundamental results of the invertible Rota-Baxter relations and derivations on pre-Lie coalgebras are given. Furthermore, using the Rota-Baxter operators on pre-Lie coalgebras, some new pre-Lie coalgebraic structures are obtained.

关键词: Pre-Lie coalgebras, Rota-Baxter operator, Derivations

Abstract: In the present paper, we mainly study Rota-Baxter operators (of weight zero) on pre-Lie coalgebras. In particular, the invertible Rota-Baxter operators on pre-Lie coalgebras is well studied, and some fundamental results of the invertible Rota-Baxter relations and derivations on pre-Lie coalgebras are given. Furthermore, using the Rota-Baxter operators on pre-Lie coalgebras, some new pre-Lie coalgebraic structures are obtained.

Key words: Pre-Lie coalgebras, Rota-Baxter operator, Derivations

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