Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1395 ; Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1395
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 of degree is Gaussian if for polynomials of degree at most .