Almost Preenvelopes of Commutative Rings
نویسندگان
چکیده
We study almost F-preenvelopes in the category of rings, for a significative class F of commutative rings. We completely identify those rings which have an almost F-preenvelope when F is the class of fields, semisimple rings, integer domains and local rings. We show that rings with Krull dimension zero have (almost) V-preenvelopes, where V is the class of von Neumann regular rings. Mathematics Subject Classification: 13C05; 16S10; 18B99
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