Distributive lattices of varieties of Novikov algebras

Autor:	Dotsenko, Vladimir, Zhakhayev, Bekzat
Rok vydání:	2024
Předmět:	Mathematics - Rings and Algebras Mathematics - Category Theory
Druh dokumentu:	Working Paper
Popis:	We prove that a variety of Novikov algebras has a distributive lattice of subvarieties if and only if the lattice of its subvarieties defined by identities of degree three is distributive, thus answering, in the case of Novikov algebras, a question of Bokut from about fifty years ago. As a byproduct, we classify all Koszul operads with one binary generator of which the Novikov operad is a quotient. Comment: 32 pages, comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.19319 Zobrazit plný text záznamu View this record from Arxiv