Locally finite coalgebras and the locally nilpotent radical II

Santos Filho, G.; Murakami, L.; Shestakov, I

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Locally finite coalgebras and the locally nilpotent radical II

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Author(s):	Santos Filho, G. ^[1] ; Murakami, L. ^[1] ; Shestakov, I ^[1] Total Authors: 3
Affiliation:	^[1] Univ Sao Paulo, Dept Math, IME, Sao Paulo - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	COMMUNICATIONS IN ALGEBRA; v. 49, n. 12 JUN 2021.
Web of Science Citations:	0
Abstract
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)

FAPESP's process:	18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:	Ivan Chestakov
Support Opportunities:	Research Projects - Thematic Grants

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