THE FACTOR RING OF A QUASI-BAER RING BY ITS PRIME RADICAL

Autor:	Jae Keol Park, Jin Yong Kim, Gary F. Birkenmeier
Rok vydání:	2011
Předmět:	Principal ideal ring Associated prime Reduced ring Discrete mathematics Ring (mathematics) Pure mathematics Nilpotent Algebra and Number Theory Applied Mathematics Baer ring Quotient ring Prime (order theory) Mathematics
Zdroj:	Journal of Algebra and Its Applications. 10:157-165
ISSN:	1793-6829 0219-4988
DOI:	10.1142/s0219498811004495
Popis:	The quasi-Baer condition of R/P(R) is investigated when R is a quasi-Baer ring, where P(R) is the prime radical of R. We provide an example of quasi-Baer ring R such that R/P(R) is not quasi-Baer. However, when P(R) is nilpotent, we prove that if R is a quasi-Baer (resp., Baer) ring, then R/P(R) is quasi-Baer (resp., Baer). Examples which illustrate and delimit the results of this paper are provided.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::118d9fa4845670a064fa1247e488d383 https://doi.org/10.1142/s0219498811004495 Zobrazit plný text záznamu