Maximal Ideals in Laurent Polynomial Rings

Budh Nashier
1992 Proceedings of the American Mathematical Society  
We prove, among other results, that the one-dimensional local domain A is Henselian if and only if for every maximal ideal M in the Laurent polynomial ring A[T, T~l], either M n A[T] or M C\ A[T~^\ is a maximal ideal. The discrete valuation ring A is Henselian if and only if every pseudo-Weierstrass polynomial in A[T] is Weierstrass. We apply our results to the complete intersection problem for maximal ideals in regular Laurent polynomial rings.
doi:10.2307/2159333 fatcat:gzb5zt7w55fupe5pqwmi75b3sm