{"paper":{"title":"Reflectors and globalizations of partial actions of groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CT","authors_text":"Boris Novikov, Mykola Khrypchenko","submitted_at":"2016-02-17T17:37:06Z","abstract_excerpt":"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 ${\\sf V}$, then we show that the problem reduces to the embeddability of certain generalized amalgam of ${\\sf V}$-algebras associated with $\\theta$. As an application, we describe globalizable partial actions on semigroups, whose domains are ideals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05504","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}