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.
skew group ringGorenstein AC-flat modulesweak Gorenstein AC global dimensionseparable extension
NETL
NSTL
万方数据
