English edit

Etymology edit

di- +‎ algebra

Noun edit

dialgebra (plural dialgebras)

  1. (mathematics) Alternative form of bialgebra
    • 2015, Yong Zhang, Chengming Bai, Li Guo, “Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras”, in Science in China Math[1], volume 57, pages 259–273:
      We also show that a Rota-Baxter operator on a totally compatible Lie dialgebra gives rise to a PostLie algebra, generalizing the fact that a Rota-Baxter operator on a Lie algebra gives rise to a PostLie algebra..