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Locally finite coalgebras and the locally nilpotent radical I

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Autor(es):
Santos Filho, G. ; Murakami, L. ; Shestakov, I
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Linear Algebra and its Applications; v. 621, p. 19-pg., 2021-03-22.
Resumo

We investigate a few properties of varieties that admit locally nilpotent radical and we prove that, under certain circumstances, coalgebras of said varieties are locally finite. We apply our findings to show that right alternative Malcev-admissible coalgebras and binary (-1, 1)-coalgebras are locally finite. Our results are motivated by a conjecture formulated by I. Shestakov. (C) 2021 Elsevier Inc. All rights reserved. (AU)

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