Lie automorphisms of incidence algebras

DOI10.1090/proc/15786zbMath1491.16029arXiv2012.06661OpenAlexW4210816998MaRDI QIDQ5027191

Érica Z. Fornaroli, Ednei Aparecido jun. Santulo, Mykola Khrypchenko

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.06661

zbMATH Keywords

automorphismanti-automorphismincidence algebraLie automorphism

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (6)

Lie higher derivations of incidence algebras ⋮ Proper Lie automorphisms of incidence algebras ⋮ Regular Hom-Lie structures on incidence algebras ⋮ Nonlinear Jordan higher derivations of incidence algebras ⋮ Identities and derived lengths of finitary incidence algebras and their group of units ⋮ Transposed Poisson structures on Lie incidence algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lie derivations of incidence algebras
• Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras
• Automorphisms of the Lie algebra of upper triangular matrices over a connected commutative ring
• Automorphisms of certain Lie algebras of upper triangular matrices over a commutative ring
• Lie-type derivations of finitary incidence algebras
• Anti-automorphisms and involutions on (finitary) incidence algebras
• Jordan homomorphisms of the structural matrix algebras
• Jordan isomorphisms of finitary incidence algebras
• Jordan isomorphisms of the finitary incidence ring of a partially ordered category
• Lie n-derivations of incidence algebras
• Lie triple derivations of incidence algebras
• Lie Isomorphisms of Primitive Rings
• Lie Isomorphisms of Simple Rings
• Lie Isomorphisms of Prime Rings

This page was built for publication: Lie automorphisms of incidence algebras