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- W2953018473 abstract "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." @default.
- W2953018473 created "2019-06-27" @default.
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- W2953018473 date "2009-06-23" @default.
- W2953018473 modified "2023-09-23" @default.
- W2953018473 title "Envelopes of commutative rings" @default.
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