Yoneda Ext-algebras of Takeuchi smash products
Rings and Algebras
2022-03-03 v1
Abstract
We prove that the Yoneda Ext-algebra of a Takeuchi smash product is the graded Takeuchi smash product of the Yoneda Ext-algebras of the two algebras or modules involved. As an application, we prove that graded Takeuchi smash products preserve Artin-Schelter regularity, and describe the Nakayama automorphism of the product.
Keywords
Cite
@article{arxiv.2203.00857,
title = {Yoneda Ext-algebras of Takeuchi smash products},
author = {Quanshui Wu and Ruipeng Zhu},
journal= {arXiv preprint arXiv:2203.00857},
year = {2022}
}
Comments
16 pages, comments welcome