A Sufficient Condition for a Smash Product as a Transfinite Left Free Normalizing Extension and Its Application

Authors
Liu, Zhongkui
Citation
Liu, Zhongkui, A Sufficient Condition for a Smash Product as a Transfinite Left Free Normalizing Extension and Its Application, Acta mathematica Sinica. English series (Print) , 16(1), 2000, pp. 71-78
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
16
Issue
1
Year of publication
2000
Pages
71 - 78
Database
ACNP
SICI code
Abstract
In this paper, a sufficient condition is given under which the smash product A#H is a transfinite left free normalizing extension of an algebra A. Moreover, the result is applied to a skew semigroup ring, a skew group ring and the quantum group U q (sl(2)) such that some properties are shown.