斜群环上的Gorenstein AC平坦模
Gorenstein AC Flat Modules of Skew Group Rings
秦岭1
作者信息
- 1. 重庆师范大学数学科学学院,重庆沙坪坝 401331
- 折叠
摘要
摘 要:为研究在可分扩张下Gorenstein AC-平坦模在斜群环中的同调性质.在RσG→RσH是斜群环的可分扩张条件下,证明了限制函子和诱导函子保持模的FP-内射、level和Gorenstein AC-平坦等同调性质.若Gorenstein AC-平坦模类关于扩张封闭,斜群环RσG和RσH具有相等的弱Gorenstein AC整体维数.
Abstract
To investigate the homomorphism of Gorenstein AC-flat modulus in skew group rings under separable extension,it is proved that the restriction functor and induced functor keep the homomorphism of FP∞-injective,level and Gorenstein AC-flat modulus under the condition that RσG→RσH is the separable extension of the skew group rings;if the Gorenstein AC-flat modulus class is closed with respect to the extension,the skew group rings RσG and RσH have equal weak Gorenstein AC global dimensions.
关键词
斜群环/Gorenstein/AC-平坦模/弱Gorenstein/AC整体维数/可分扩张Key words
skew group ring/Gorenstein AC-flat modules/weak Gorenstein AC global dimension/separable extension引用本文复制引用
基金项目
国家自然科学基金项目(11871125)
重庆市教委项目(KJQN201800509)
出版年
2024
NETL
NSTL
万方数据