A simple note on the Yoneda (co)algebra of a monomial algebra

• Date: 2021
• Main Author: Herscovich , E.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6040
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.7 If $A = TV/\langle R\rangle$ is a monomial $K$-algebra, it is well-known that $\operatorname{Tor}_{p}^{A}(K,K)$ is isomorphic to the space $V^{(p-1)}$ of (Anick) $(p-1)$-chains for $p \geq 1$. The goal of this short note is to show that the next result follows directly from well-establishe...