English

Free weighted differential ($q$-tri)dendriform algebras

Rings and Algebras 2024-06-26 v2

Abstract

In the present paper, we propose the concepts of weighted differential (qq-tri)dendriform algebras and give some basic properties of them. The corresponding free objects are constructed, in both the commutative and noncommutative contexts.

Keywords

Cite

@article{arxiv.2305.19609,
  title  = {Free weighted differential ($q$-tri)dendriform algebras},
  author = {Yuanyuan Zhang and Huhu Zhang and Tingzeng Wu and Xing Gao},
  journal= {arXiv preprint arXiv:2305.19609},
  year   = {2024}
}

Comments

This paper is just the old version of the arXiv:2406.12871. Sorry I forget I have uploaded it before. So it would be great to turn arXiv:2305.19609 to version 1 of the newest arXiv:2406.12871