Abstract
We study realizable values of the length function for unital possibly nonassociative algebras of a given dimension. To do this we apply the method of characteristic sequences and establish sufficient conditions of realizability for a given value of length. The proposed conditions are based on binary decompositions of the value and algebraic constructions that allow to modify length function of an algebra. Additionally we provide a description of unital algebras of maximal possible length in terms of their bases.
| Original language | English |
|---|---|
| Pages (from-to) | 392-407 |
| Number of pages | 16 |
| Journal | Communications in Algebra |
| Volume | 52 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2024 |
Bibliographical note
Publisher Copyright:© 2023 The Author(s). Published with license by Taylor & Francis Group, LLC.
Keywords
- Length function
- nonassociative algebra