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.
Original languageEnglish
Pages (from-to)485-521
Number of pages37
JournalMoscow Mathematical Journal
Volume19
Issue number3
DOIs
StatePublished - 1 Jul 2019

    Research areas

  • Degeneration, Level of algebra, Orbit closure

ID: 43995263