数学季刊 ›› 2023, Vol. 38 ›› Issue (4): 370-378.doi: 10.13371/j.cnki.chin.q.j.m.2023.04.004

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一类 Gerstenhaber 代数的构造

  

  1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
  • 收稿日期:2023-03-06 出版日期:2023-12-30 发布日期:2023-12-15
  • 通讯作者: HOU Bo (1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in algebra. E-mail: bohou1981@163.com
  • 作者简介: HOU Bo (1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in algebra.
  • 基金资助:
     Supported by the National Natural Science Foundation of China (Grant No. 12201182).

Construction of a Class of Gerstenhaber Algebras

  1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
  • Received:2023-03-06 Online:2023-12-30 Published:2023-12-15
  • Contact: HOU Bo (1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in algebra. E-mail: bohou1981@163.com
  • About author: HOU Bo (1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in algebra.
  • Supported by:
     Supported by the National Natural Science Foundation of China (Grant No. 12201182).

PDF (PC)

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摘要：

For any K-algebra A, based on Hochschild complex and Hochschild cohomology of A, we construct a new Gerstenhaber algebra, and give Gerstenhaber algebra epimorphism from the new Gerstenhaber algebra to the Gerstenhaber algebra of the Hochschild cohomology of A.

关键词:


Abstract:

For any K-algebra A, based on Hochschild complex and Hochschild cohomology of A, we construct a new Gerstenhaber algebra, and give Gerstenhaber algebra epimorphism from the new Gerstenhaber algebra to the Gerstenhaber algebra of the Hochschild cohomology of A.

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