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 2-dimensional 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 | 0219-4988 |
URL |
http://www.worldscientific.com/doi/abs/10.1142/S0219498811004641 |
Language | English |
Journal | J. Algebra Appl. |
Volume | 10 |
Number | 2 |
Pages | 365--376 |
Publisher | World Scientific, Singapore |
Year | 2011 |
Edition | 0 |
Translation |
No |
Refereed |
No |