Locally finite coalgebras and the locally nilpotent radical II

Autor(es)

Santos Filho, G. ^[1] ; Murakami, L. ^[1] ; Shestakov, I ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Math, IME, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 49, n. 12 JUN 2021.
• Citações Web of Science: 0

Resumo

In this article, we describe a criterion for an element of the dual space of an algebra to belong to the finite dual. This result is used to study when a certain subspace of the dual space is a subcoalgebra of the finite dual. We further apply it to find a right alternative coalgebra that is not locally finite. This work is motivated by a conjecture from I. Shestakov, which states that all coalgebras of a given variety are locally finite if, and only if, this variety admits locally nilpotent radical. (AU)

• Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático