Frattinian nilpotent Lie algebras
Mehri KianMehr, and Farshid Saeedi
TL;DR
This paper introduces the concept of Frattinian nilpotent Lie algebras, demonstrating their properties and showing that they possess a central decomposition of their ideals, contributing to the understanding of their structure.
Contribution
The paper defines Frattinian nilpotent Lie algebras and proves that they have a central decomposition of their ideals, a new structural insight.
Findings
Every Frattinian nilpotent Lie algebra has a central decomposition.
Examples of Frattinian nilpotent Lie algebras are provided.
The concept introduces a new class within nilpotent Lie algebras.
Abstract
We introduce a novel concept Frattinian nilpotent Lie algebra. Along with some examples, we show that every Frattinian nilpotent Lie algebra has a central decomposition of its ideals.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Finite Group Theory Research