Browsing by Autor "Rafael Parra"

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    Envelopes of commutative rings
    (2009) Rafael Parra; Manuel Saorı́n
    Given a significative class $F$ of commutative rings, we study the precise conditions under which a commutative ring $R$ has an $F$-envelope. A full answer is obtained when $F$ is the class of fields, semisimple commutative rings or integral domains. When $F$ is the class of Noetherian rings, we give a full answer when the Krull dimension of $R$ is zero and when the envelope is required to be epimorphic. The general problem is reduced to identifying the class of non-Noetherian rings having a monomorphic Noetherian envelope, which we conjecture is the empty class.
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    Envelopes of commutative rings
    (Springer Science+Business Media, 2011) Rafael Parra; Manuel Saorı́n