HOMOLOGICAL DIMENSION OF SMASH PRODUCT OVER QUASITRIANGULAR WEAK HOPF ALGEBRA

Authors : Zhongwei Wang

Pages : 161-179

Doi:10.24330/ieja.266218

View : 15 | Download : 13

Publication Date : 2015-06-01

Article Type : Research Paper

Abstract :Let insert ignore into journalissuearticles values(H, R); be a quasitriangular weak Hopf algebra, and A a quantum commutative weak H-module algebra. We establish the relationship of homological dimensions between weak smash product algebra A#H and A under some conditions. As an application, we consider the case of twisted weak Hopf algebra.
Keywords : Quasitriangular weak Hopf algebra, quantum commutative weak module algebra, weak smash product, homological dimension