Parra, Carlos; Parra, Rafael; Rada, Juan Almost preenvelopes of commutative rings. (English) Zbl 1267.13018 Notas Mat. 5, No. 2, 20-28 (2009). 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. MSC: 13C05 Structure, classification theorems for modules and ideals in commutative rings Keywords:almost preenvelopes; semiprimitive rings; local rings; von Neumann regular rings PDF BibTeX XML Cite \textit{C. Parra} et al., Notas Mat. 5, No. 2, 20--28 (2009; Zbl 1267.13018)