Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2012 (2012), Article ID 925092, 18 pages.
Zero Triple Product Determined Matrix Algebras
Let be an algebra over a commutative unital ring . We say that is zero triple product determined if for every -module and every trilinear map , the following holds: if whenever , then there exists a -linear operator such that for all . If the ordinary triple product in the aforementioned definition is replaced by Jordan triple product, then is called zero Jordan triple product determined. This paper mainly shows that matrix algebra , , where B is any commutative unital algebra even different from the above mentioned commutative unital algebra , is always zero triple product determined, and , , where F is any field with ch, is also zero Jordan triple product determined.
J. Appl. Math., Volume 2012 (2012), Article ID 925092, 18 pages.
First available in Project Euclid: 14 December 2012
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Yao, Hongmei; Zheng, Baodong. Zero Triple Product Determined Matrix Algebras. J. Appl. Math. 2012 (2012), Article ID 925092, 18 pages. doi:10.1155/2012/925092. https://projecteuclid.org/euclid.jam/1355495056