From ring epimorphisms to universal localisations

Frederik Marks; Jorge Vitoria

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From ring epimorphisms to universal localisations

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arxiv 1207.4669 v1 pith:EIEW45PY submitted 2012-07-19 math.RA math.RT

Frederik Marks , Jorge Vitoria This is my paper · ORCID

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keywords ringepimorphismslocalisationrecollementsuniversalcategoriesclassescompared

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For a fixed ring, different classes of ring epimorphisms and localisation maps are compared. In fact, we provide sufficient conditions for a ring epimorphism to be a universal localisation. Furthermore, we consider recollements induced by some homological ring epimorphisms and investigate whether they yield recollements of derived module categories.

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