Group gradings on triangularizable algebras

Autor(es)

Schutzer, Waldeck ; Yasumura, Felipe Yukihide

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 666, p. 29-pg., 2024-12-11.

Resumo

Classifying isomorphism classes of group gradings on algebras presents a compelling challenge, particularly within the realms of non-simple and infinite-dimensional algebras, which have been relatively unexplored. This study focuses on a kind of algebra that is neither simple nor finite-dimensional, aiming to classify the group gradings on triangularizable algebras as defined by Mesyan in 2019. The topology of infinite- dimensional algebras, along with the role of idempotent elements, plays a crucial role in our findings, leading to new insights and a deeper understanding of their structure. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU)

• Processo FAPESP: 23/03922-8 - Superidentidades polinomiais de superálgebras simples
• Beneficiário: Felipe Yukihide Yasumura
• Modalidade de apoio: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático