Autor:	Ahmad Moussavi, Alireza Nasr-Isfahani
Rok vydání:	2014
Předmět:	Radical of a ring Pure mathematics Algebra and Number Theory Noncommutative ring Primitive ring Jacobson ring Ore extension Von Neumann regular ring Nakayama lemma Jacobson radical Mathematics
Zdroj:	Journal of Algebra. 415:234-246
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2014.06.011
Popis:	It is shown that, under suitable conditions, an Ore extension R [ x ; α ] of a Jacobson ring R (i.e., a ring all of whose prime ideals are semiprimitive) with a monomorphism α , will be Jacobson. These conditions are satisfied by the class of rings studied by Pearson, Stephenson and Watters, and by left Noetherian rings, giving a theorem of Goldie and Michler.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::78d2e32557e8b8ab4ea6d748f3b644fc https://doi.org/10.1016/j.jalgebra.2014.06.011 Zobrazit plný text záznamu Full Text from ScienceDirect