Ext-algebras of graded skew extensions

Y. Shen; X. Wang; G. -S. Zhou

Ext-algebras of graded skew extensions

Rings and Algebras 2017-08-29 v2

Authors: Y. Shen , X. Wang , G. -S. Zhou

Abstract

In this paper, we study the Ext-algebras of graded skew extensions. For a connected graded algebra $A$ and a graded automorphism $\sigma$ , we analyze the Yoneda product of the Ext-algebra of graded skew extension $A[z;\sigma]$ , and prove this Ext-algebra is an $R$ -smash product of the Ext-algebra of $A$ and the one of polynomial algebra $k[z]$ as an associative algebra.

Keywords

ext-algebras graded skew extensions yoneda product graded automorphism smash product connected graded algebra

Cite

@article{arxiv.1707.01610,
  title  = {Ext-algebras of graded skew extensions},
  author = {Y. Shen and X. Wang and G. -S. Zhou},
  journal= {arXiv preprint arXiv:1707.01610},
  year   = {2017}
}

Comments

The content of A-infinity structures has been removed from the first version, since it does not seem to be true in the general setting

Ext-algebras of graded skew extensions

Abstract

Keywords

Cite

Comments

Related papers