On Frobenius full matrix algebras with structure systems

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2007
• Hauptverfasser: Fujita, H., Sakai, Y., Simson, D.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/157356
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On Frobenius full matrix algebras with structure systems / H. Fujita, Y. Sakai, D. Simson // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 1. — С. 24–39. — Бібліогр.: 13 назв. — англ.

Let n ≥ 2 be an integer. In [5] and [6], an n × n A-full matrix algebra over a field K is defined to be the set Mn(K) of all square n × n matrices with coefficients in K equipped with a multiplication defined by a structure system A, that is, an n-tuple of n × n matrices with certain properties....