Prüfer Conditions and the Total Quotient Ring

Autor:	Jason Greene Boynton
Rok vydání:	2011
Předmět:	Discrete mathematics Category of rings Pure mathematics Algebra and Number Theory Prüfer domain Noncommutative ring Mathematics::Commutative Algebra Polynomial ring Commutative ring Characterization (mathematics) Quotient ring Zero divisor Mathematics
Zdroj:	Communications in Algebra. 39:1624-1630
ISSN:	1532-4125 0092-7872
DOI:	10.1080/00927871003738931
Popis:	In this article, we consider two of the five well-studied extensions of the Prufer domain notion to arbitrary commutative rings. In particular, we consider a class of rings that lies properly between Gaussian and Prufer rings. We give a characterization of this property in terms of the total quotient ring and show that this property behaves nicely in conductor squares.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a743718bfa91b8e9709008a79653ae95 https://doi.org/10.1080/00927871003738931 Zobrazit plný text záznamu