Zero triple product determined generalized matrix algebras

Authors

DONG HAN

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.

DOI

10.3906/mat-1306-60

Keywords

Zero triple product determined algebra, zero Jordan triple product algebra, generalized matrix algebra

First Page

139

Last Page

155

Recommended Citation

HAN, D (2015). Zero triple product determined generalized matrix algebras. Turkish Journal of Mathematics 39 (2): 139-155. https://doi.org/10.3906/mat-1306-60