Factoring ideals in Prüfer domains

Marco Fontana, Evan Houston, Thomas G. Lucas

Type: Article

Publication Date: 2007-01-06

Citations: 10

DOI: https://doi.org/10.1016/j.jpaa.2006.12.011

View Publication

Download PDF

Locations

arXiv (Cornell University) - PDF
Journal of Pure and Applied Algebra - View

Similar Works

Action	Title	Year	Authors
+	Factoring Ideals in Prüfer Domains	2006	Marco Fontana Evan Houston Tom Lucas
+	Weak, Strong and Very Strong Factorization	2012	Marco Fontana Evan Houston Thomas G. Lucas
+	Injective and colon properties of ideals in integral domains	2007	Bruce Olberding
+	Sharpness and Trace Properties	2012	Marco Fontana Evan Houston Thomas G. Lucas
+	Toward a classification of prime ideals in Prüfer domains	2008	Marco Fontana Evan Houston Thomas G. Lucas
+	On divisorial prime ideals in prüfer v-multiplication domains	1986	Evan Houston
+	FACTORIZATION IN PRÜFER DOMAINS	2017	Jim Coykendall Richard Erwin Hasenauer
+	Idempotence and divisorialty in Prüfer-like domains	2018	Marco Fontana Evan Houston Mi Hee Park
+	Toward a classification of prime ideals in Prüfer domains	2010	Marco Fontana Evan Houston Thomas G. Lucas
+	Idempotence and Divisoriality in Prüfer-Like Domains	2020	Marco Fontana Evan Houston Mi Hee Park
+	Lobal Properties of Integral Domains	2016	Thomas G. Lucas
+	Interpolation Domains	2000	Paul-Jean Cahen Jean-Luc Chabert Sophie Frisch
+	m‐Canonical Ideals in Integral Domains II	2019	Valentina Barucci Evan Houston Thomas G. Lucas Ira J. Papick
+ PDF Chat	Divisorial Prime Ideals in Prüfer Domains	1984	Marco Fontana James A. Huckaba Ira J. Papick
+	Factorization of ideals	2019	D. D. Anderson J. R. Juett Christopher Park Mooney
+	Pseudo-Dedekind and Strong Pseudo-Dedekind Factorization	2012	Marco Fontana Evan Houston Thomas G. Lucas
+	Reductions of Ideals in Prufer Domains	1975	James Hays
+	Unique Factorization of Ideals	2013	Eirik Holteberg Vold
+	Prüfer- like conditions in the amalgamated duplication of a ring along an ideal	2010	Mohamed Chhiti Najib Mahdou
+	Factoring Ideals in Almost Dedekind Domains and Generalized Dedekind Domains	2012	Marco Fontana Evan Houston Thomas G. Lucas

Works That Cite This (9)

Action	Title	Year	Authors
+ PDF Chat	Characterizing minimal ring extensions	2011	Paul-Jean Cahen David E. Dobbs Thomas G. Lucas
+	FACTORIZATION IN PRÜFER DOMAINS	2017	Jim Coykendall Richard Erwin Hasenauer
+	Integral Domains Which Admit at Most Two Star Operations	2011	Evan Houston A. Mimouni Mi Hee Park
+	Introduction	2012	Marco Fontana Evan Houston Thomas G. Lucas
+	Factoring Ideals in Almost Dedekind Domains and Generalized Dedekind Domains	2012	Marco Fontana Evan Houston Thomas G. Lucas
+	Sharpness and Trace Properties	2012	Marco Fontana Evan Houston Thomas G. Lucas
+	Pseudo-Dedekind and Strong Pseudo-Dedekind Factorization	2012	Marco Fontana Evan Houston Thomas G. Lucas
+	Weak, Strong and Very Strong Factorization	2012	Marco Fontana Evan Houston Thomas G. Lucas
+	Factorization and Intersections of Overrings	2012	Marco Fontana Evan Houston Thomas G. Lucas

Works Cited by This (15)

Action	Title	Year	Authors
+	Multiplicative ideal theory	1968	Robert Gilmer
+	Semistar-operations on integral domains	1994	Akira Okabe Ryûki Matsuda
+	Overrings of Prüfer domains. II	1967	Robert Gilmer William Heinzer
+	Globalizing Local Properties of Prüfer Domains	1998	Bruce Olberding
+	Localizing Systems and Semistar Operations	2000	Marco Fontana James A. Huckaba
+	The Radical Trace Property and Primary Ideals	1996	Thomas G. Lucas
+	Integral domains in which each non‐zero ideal is divisorial	1968	William Heinzer
+	M-Canonical ideals in integral domains	1998	William Heinzer James A. Huckaba Ira J. Papick
+ PDF Chat	Overrings and divisorial ideals of rings of the form $D+M$.	1973	Eduardo Ramon Bastida Robert Gilmer
+	Toward a classification of prime ideals in Prüfer domains	2008	Marco Fontana Evan Houston Thomas G. Lucas