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Volume 6, Issue 2 (2016) , Pages [89] - [143]

THE MULTIPLICATION ALGEBRA OF THE DUPLICATE OF AN ALGEBRA

[1] R. Costa and A. Suazo, On the multiplication algebra of a Bernstein algebra, Comm. Algebra 26(11) (1998), 3727-3736.

 

[2] R. Costa, L. S. Ikemoto and A. Suazo, The multiplication algebra of a Bernstein algebra: Basic results, Comm. Algebra 24(5) (1996), 1809-1821.

 

[3] H. Guzzo Jr., The Peirce decomposition for commutative train algebras, Comm. Algebra 22 (1994), 5745-5757.

 

[4] A. Micali and M. Outtara, Sur la dupliquée d’une algèbre, Bull. Soc. Math. Belg. Série B 45 (1993), 5-24.

 

[5] A. Micali and M. Ouattara, Structure des algèbres de Bernstein, Linear Algebra Appl. 218 (1995), 77-88.

 

[6] F. L. Pritchard, Ideals in the multiplication algebra of a non-associative algebra, Comm. Algebra 21(12) (1993), 4541-4559.

 

[7] R. D. Schafer, An Introduction to Nonassociative Algebras, Academic Press, New York, 1966.

 

[8] A. Wörz-Busekros, Algebras in Genetics, Lecture Notes in Biomathematics, 36, Springer-Verlag, Berlin-New York, 1980.