Mathematics - Research News

Projective generation of ideals in polynomial extensions

 Mathematics - Research News
 05 September 2020
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...

The elasticity of Puiseux monoids

 Mathematics - Research News
 05 September 2020
Felix Gotti, Christopher O’Neill. Source: Journal of Commutative Algebra, Volume 12, Number 3, 319--331.Abstract: Let [math] be an atomic monoid and let [math] be a non-unit element of [math] . The elasticity of [math] , denoted by [math] , is the ratio of its largest factorization length to its...

Multiple convex body semigroups and Buchsbaum rings

 Mathematics - Research News
 05 September 2020
Juan Ignacio García-García, Alfredo Sánchez-R.-Navarro, Alberto Vigneron-Tenorio. Source: Journal of Commutative Algebra, Volume 12, Number 3, 309--318.Abstract: In this work, using the concept of multiple convex body semigroup, we present new families of Buchsbaum semigroups. We characterize...

The radical of an $n$-absorbing ideal

 Mathematics - Research News
 02 June 2020
Hyun Seung Choi, Andrew Walker. Source: Journal of Commutative Algebra, Volume 12, Number 2, 171--177.Abstract: In this note, we show that in a commutative ring [math] with unity, for any [math] , if [math] is an [math] -absorbing ideal of [math] , then [math] . ...

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