Abstract
Let F be a field of characteristic zero and let A be a two-dimensional non-associative algebra over F. We prove that the sequence c_n(A), n=1, 2, . . . , of codimensions of A is either bounded by n + 1 or grows exponentially as 2^n. 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 n + 1, n ≥ 2.
Lingua originale | English |
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pagine (da-a) | 3405-3415 |
Numero di pagine | 11 |
Rivista | Proceedings of the American Mathematical Society |
Volume | 135 |
Stato di pubblicazione | Published - 2007 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2600.2600???
- ???subjectarea.asjc.2600.2604???