![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
For a Frobenius cellular algebra, we prove that, if the left (right) dual basis of a cellular basis is again cellular, then the algebra is symmetric. Moreover, some ideals of the center are constructed by using the so-called Nakayama twisted center.
ACKNOWLEDGMENT
The author would like to express his sincere thanks to Chern Institute of Mathematics of Nankai University for the hospitality during his visit. He also acknowledges Prof. Chengming Bai for his kind consideration and warm help.
Notes
Communicated by J. L. Gomez Pardo.