Zero triple product determined generalized matrix algebras

Authors

DONG HAN

DOI

10.3906/mat-1306-60

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

First Page

139

Last Page

155

Recommended Citation

HAN, DONG (2015) "Zero triple product determined generalized matrix algebras," Turkish Journal of Mathematics: Vol. 39: No. 2, Article 1. https://doi.org/10.3906/mat-1306-60
Available at: https://journals.tubitak.gov.tr/math/vol39/iss2/1