Zero triple product determined generalized matrix algebras

Authors : Dong Han

Pages : 139-155

Doi:10.3906/mat-1306-60

View : 10 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper, we prove that the generalized matrix algebra G = \left[ A M N B \right] is a zero triple product (resp. zero Jordan triple product) determined if and only if A and B are zero triple products (resp. zero Jordan triple products) determined under certain conditions. Then the main results are applied to triangular algebras and full matrix algebras.
Keywords : Zero triple product determined algebra, zero Jordan triple product algebra, generalized matrix algebra