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

From ring epimorphisms to universal localisations

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classification math.RA math.RT
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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