On the projective-injective modules over cellular algebras
Authors:
Yongzhi Cao
Affiliation:
Department of Mathematics, Beijing Normal University, 100875 Beijing, People's Republic of China
Abstract:
We show that the projective module over a cellular algebra is injective if and only if the socle of coincides with the top of , and this is also equivalent to the condition that the th socle layer of is isomorphic to the th radical layer of for each positive integer . This eases the process of determining the Loewy series of the projective-injective modules over cellular algebras.