A Note on the (Faith-Menal) Counter Example

Autor:	R. H. Sallam
Rok vydání:	2012
Předmět:	Principal ideal ring Discrete mathematics Ring (mathematics) Noetherian ring Pure mathematics Noncommutative ring Mathematics::Commutative Algebra Mathematics::Rings and Algebras Artinian ring General Medicine Radical of a ring Primitive ring Semisimple module Mathematics
Zdroj:	Advances in Pure Mathematics. :39-40
ISSN:	2160-0384 2160-0368
DOI:	10.4236/apm.2012.21009
Popis:	Faith-Menal counter example is an example (unique) of a right John’s ring which is not right artinian In this paper we show that the ring T which considered as an example of a right Johns ring in the (Faith-Menal) Counter Example is also artinian. The conclusion is that the unique counter example that says a right John’s ring can not be right artinian is false and the right noetherian ring with the annihilator property rl(A) = A may be artinian.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9243a3c7febb0cffa05d4c5a7a1eaffe https://doi.org/10.4236/apm.2012.21009 Zobrazit plný text záznamu