Work

Advanced Structural Analysis of n-Derivations and n-Automorphisms in Nest Algebras via Exponential Mappings

Year: 2025

Type: article

Abstract: This paper extends the notions of n-derivations and n-automorphisms from Lie algebras to nest algebras via exponential mappings. We establish necessary and sufficient conditions for triangularity, and examine the preservation of the radical, center, and ideals under these higher-order algebraic transformations. The induced group structures of n-automorphisms are explicitly characterized, including inner and non-abelian components. Several concrete examples demonstrate the applicability and depth of the theoretical findings.

Source: Symmetry

DOI: 10.3390/sym17040596

Authors: Ali Al Khabyah, Nazim, Shaheen Khan

Institutions: King Khalid University, Aligarh Muslim University

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: King Khalid University