DOI

The main result of the paper is the classification of all (nonassociative) algebras of level two, i.e., such algebras that maximal chains of nontrivial degenerations starting at them have length two. During this classification we obtain an estimation of the level of an algebra via its generation type, i.e., the maximal dimension of its one generated subalgebra. Also we describe all degenerations and levels of algebras of the generation type 1 with a square zero ideal of codimen-sion 1.
Язык оригиналаанглийский
Страницы (с-по)485-521
Число страниц37
ЖурналMoscow Mathematical Journal
Том19
Номер выпуска3
DOI
СостояниеОпубликовано - 1 июл 2019

ID: 43995263