REFLECTORS AND GLOBALIZATIONS OF PARTIAL ACTIONS OF GROUPS

Autor(es)

Khrypchenko, Mykola ^[1] ; Novikov, Boris ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY; v. 104, n. 3, p. 358-379, JUN 2018.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 12/01554-7 - Ações e representações parciais, cohomologia e globalização
• Beneficiário: Mykola Khrypchenko
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado