Jianfeng Xie

collaborators

2 papers

math.NT2022

An orthogonal relation on inverse cyclotomic polynomials

Jianfeng Xie

Let $Φ_{n} (X)$ and $Ψ_{n} (X) = \frac{X ^{n} - 1}{Φ _{n} ( X )}$ be the $n$ -th cyclotomic and inverse cyclotomic polynomials respectively. In this short note, for any pair of divisors $ d_{1} \n…

math.RA2018

Isomorphism problem and homological properties of DG free algebras

X. -F. Mao, J. -F. Xie, Y. -N. Yang +1

A differential graded (DG for short) free algebra $A$ is a connected cochain DG algebra such that its underlying graded algebra is $$\mathcal{A}^{\#}=\k\langle x_1,x_2,\c…