| 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.
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| 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 |
