Projective generation of ideals in polynomial extensions

 05 September 2020
 Mathematics - Research News

Manoj K. Keshari, Md. Ali Zinna. Source: Journal of Commutative Algebra, Volume 12, Number 3, 333--352.Abstract:
Let [math] be an affine domain of dimension [math] over a field of characteristic [math] . Let [math] be a projective [math] -module of rank [math] and [math] a local complete intersection ideal of height [math] . Assume that [math] is a surjective image of [math] . This paper examines under what conditions [math] is a surjective image of a projective [math] -module [math] of rank [math] with determinant [math] .