|
|||||
|
|
Codimension growth of two-dimensional non-associative algebras |
|
| Authors: | A. Giambruno S. Mishchenko M. Zaicev |
| Affiliation: | Dipartimento di Matematica e Applicazioni, Via Archirafi 34, 90123 Palermo, Italia ; Department of Algebra and Geometric Computations, Faculty of Mathematics and Mechanics, Ulyanovsk State University, Ulyanovsk 432700, Russia ; Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992 Russia |
| Abstract: | Let  be a field of characteristic zero and let  be a two- dimensional non-associative algebra over  . We prove that the sequence  of codimensions of  is either bounded by  or grows exponentially as  . We also construct a family of two-dimensional algebras indexed by rational numbers with distinct T-ideals of polynomial identities and whose codimension sequence is  ,  . |
| Keywords: | Polynomial identity codimension growth |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |