Some results on Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras

Autor:	Towers, David A.
Rok vydání:	2023
Předmět:	Mathematics - Rings and Algebras Mathematics - Group Theory 0835 17A01 17A30 17A60
Druh dokumentu:	Working Paper
Popis:	This paper starts by showing that for algebras in a certain class the concepts of weak nilpotency and nilpotency coincide. It goes on to describe some solvability and nilpotency properties of bicommutative algebras, of assosymmetric and of Novikov algebras and to introduce a Frattini theory for all of them. A description is also given for semisimple bicommutative algebras over any field.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.13113 Zobrazit plný text záznamu View this record from Arxiv