Characteristic sequences of non-associative algebras

Alexander E. Guterman; Dmitry K. Kudryavtsev

doi:10.1080/00927872.2019.1705469

Characteristic sequences of non-associative algebras

Alexander E. Guterman, Dmitry K. Kudryavtsev

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, we provide the complete characterization of integer sequences that are characteristic sequences for general non-associative algebras, i.e., we determine the set of combinatorial properties which hold for all characteristic sequences and construct corresponding algebras for integer sequences satisfying them. The obtained information on characteristic sequences is then applied to investigate the realizability problem for the length function. In particular, we determine certain segment of values which are not realizable as values of the length function.

Original language	English
Pages (from-to)	1713-1725
Number of pages	13
Journal	Communications in Algebra
Volume	48
Issue number	4
DOIs	https://doi.org/10.1080/00927872.2019.1705469
State	Published - 2 Apr 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020, © 2020 Taylor & Francis Group, LLC.

Keywords

15A03
15A78
17A99
Length function
dimension
non-associative algebras

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10.1080/00927872.2019.1705469

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Characteristic sequences of non-associative algebras

Abstract

Bibliographical note

Keywords

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