Zero triple product determined generalized matrix algebras | Zendy

Dong Han | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Zero triple product determined generalized matrix algebras

Author(s) -

Dong Han

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1306-60

Subject(s) - zero (linguistics) , mathematics , triple product , product (mathematics) , matrix (chemical analysis) , triangular matrix , pure mathematics , algebra over a field , combinatorics , geometry , chemistry , philosophy , linguistics , chromatography , invertible matrix

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research