A Problem of B. Plotkin for S-Acts: Automorphisms of Categories of Free S-Acts

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dc.creatorKatsov, Yefim
dc.date2006-02-06
dc.date.accessioned2026-07-07T07:03:09Z
dc.date.available2026-07-07T07:03:09Z
dc.descriptionIn this paper, we prove that all automorphisms of categories of free S-acts are semi-inner, which solves a variation of a well known B. Plotkin's problem in the case of monoids. We also give a description of automorphisms of categories of finitely generated free algebras of varieties of unary algebras, and show that among varieties of unary algebras only the variety of mono-unary algebras is perfect.
dc.identifierhttps://arxiv.org/abs/math/0602103
dc.identifierhttp://arxiv.org/abs/math/0602103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108865
dc.subjectRings and Algebras
dc.subject08A60, 20M30, 20M99 (Primary); 08A35, 08C05, 20M50 (Secondary)
dc.titleA Problem of B. Plotkin for S-Acts: Automorphisms of Categories of Free S-Acts
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