Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Gaussian polynomials and content ideals


Authors: William Heinzer and Craig Huneke
Journal: Proc. Amer. Math. Soc. 125 (1997), 739-745
MSC (1991): Primary 13A15, 13B25, 13G05, 13H10
MathSciNet review: 1401742
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that every regular Gaussian polynomial over a locally Noetherian ring has invertible content ideal. We do this by first proving that Gaussian polynomials over an approximately Gorenstein local ring have principal content ideal. We also show over locally Noetherian rings that a regular polynomial $f$ of degree $n$ is Gaussian if $c(fg) = c(f)c(g)$ for polynomials $g$ of degree at most $n$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 13A15, 13B25, 13G05, 13H10

Retrieve articles in all journals with MSC (1991): 13A15, 13B25, 13G05, 13H10


Additional Information

William Heinzer
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1395
Email: heinzer@math.purdue.edu

Craig Huneke
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1395
Email: huneke@math.purdue.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03921-X
PII: S 0002-9939(97)03921-X
Received by editor(s): October 18, 1995
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1997 American Mathematical Society