On finite basis property for varieties of nearly associative algebras.
Centrosymmetric determinantal varieties: geometry, singularities, and topological ...
| Full text | |
| Author(s): |
Kuz'min, Alexey
Total Authors: 1
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| Document type: | Journal article |
| Source: | JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 14, n. 10 DEC 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
In 1981, S. V. Pchelintsev introduced the notion of topological rank for Spechtian varieties of algebras as a certain tool for studying the structure of non-nilpotent subvarieties in a given variety. We provide a variety of right alternative algebras of arbitrary given finite topological rank. Namely, we prove that the topological rank of the variety of right alternative metabelian (solvable of index two) algebras that are Lie-nilpotent of step not more than s over a field of characteristic distinct from two and three is equal to s. (AU) | |
| FAPESP's process: | 10/51880-2 - On finite basis property for varieties of nearly associative algebras. |
| Grantee: | Alexey Kuzmin |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |