The Isomorphism Theorems for LU13-algebras

Annual Meeting in Mathematics 2024

Abstract

In this research, we are inspired by L-algebras, which were introduced by Rump [W. Rump, L-algebras, self-similarity, and l-groups, J. Algebra 320 (6) (2008) 2328-2348] and widely explored in various aspects. By utilizing Python programming, we investigate small finite cases of L-algebras and discover that a certain axiom can be dropped. We present some basic results on a generalization of L-algebras, referred to as LU13-algebras. Additionally, we provide the isomorphism theorems for such algebras.