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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.)

REFLECTORS AND GLOBALIZATIONS OF PARTIAL ACTIONS OF GROUPS

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Author(s):
Khrypchenko, Mykola [1] ; Novikov, Boris [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Santa Catarina, Dept Matemat, Campus Reitor Joao David Ferreira Lima, BR-88040900 Florianopolis, SC - Brazil
[2] Kharkov Natl Univ, Dept Mech & Math, Svobody Sq 4, UA-61077 Kharkov - Ukraine
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY; v. 104, n. 3, p. 358-379, JUN 2018.
Web of Science Citations: 0
Abstract

Given a partial action theta of a group on a set with an algebraic structure, we construct a reflector of theta in the corresponding subcategory of global actions and study the question when this reflector is a globalization. In particular, if theta is a partial action on an algebra from a variety V, then we show that the problem reduces to the embeddability of a certain generalized amalgam of V-algebras associated with theta. As an application, we describe globalizable partial actions on semigroups, whose domains are ideals. (AU)

FAPESP's process: 12/01554-7 - Partial actions and representations, cohomology and globalization
Grantee:Mykola Khrypchenko
Support Opportunities: Scholarships in Brazil - Post-Doctoral