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.

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

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