an:06181884
Zbl 1267.13018
Parra, Carlos; Parra, Rafael; Rada, Juan
Almost preenvelopes of commutative rings
EN
Notas Mat. 5, No. 2, 20-28 (2009).
00320053
2009
j
13C05
almost preenvelopes; semiprimitive rings; local rings; von Neumann regular rings
Summary: 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.