Title  On the associative algebra structures closest to algebra structures. 
Author(s)  Kako Fujio, Fumiya Suenobu 
Type  Article in Journal 
Abstract  We shall define the associative algebra structure closest to a given algebra structure. When we face a new multiplication, being caused by noise and so on, it must be useful to compute with the closest associative multiplication to such a perturbed one. In this paper we shall give a procedure to find the closest associative structure and demonstrate our strategy for the 2dimensional algebras over the field of real numbers. Then we trace the points of the sets of structure constants of the deformed algebras.

Keywords  Associative algebras; closest structures; Groebner basis; algebraic deformation 
ISSN  02194988 
URL 
http://www.worldscientific.com/doi/abs/10.1142/S0219498811004641 
Language  English 
Journal  J. Algebra Appl. 
Volume  10 
Number  2 
Pages  365376 
Publisher  World Scientific, Singapore 
Year  2011 
Edition  0 
Translation 
No 
Refereed 
No 