M. Azeem Khadam, Peter Schenzel. Source: Journal of Commutative Algebra, Volume 12, Number 3, 353--370.Abstract: Let [math] denote an ideal of a local ring [math] . For a system of elements [math] such that [math] , and [math] we investigate a subcomplex and a factor complex of the Čech complex...
Michael Steward. Source: Journal of Commutative Algebra, Volume 12, Number 3, 447--457.Abstract: Skolem properties are usually defined on rings of integer-valued polynomials, and are thought to be about finitely generated ideals. We contend that Skolem properties are more naturally stated in terms...
Lei Qiao, Qianyu Shu, Fanggui Wang. Source: Journal of Commutative Algebra, Volume 12, Number 3, 435--445.Abstract: In this paper, we characterize Prüfer [math] -multiplication domains as integral domains which have the property that the existence of a generalized solution of any system of linear...
Jun Seok Oh. Source: Journal of Commutative Algebra, Volume 12, Number 3, 409--433.Abstract: Let [math] be a finite group. A finite unordered sequence [math] of terms from [math] , where repetition is allowed, is a product-one sequence if its terms can be ordered such that their product equals...
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...
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...
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...
Lance Edward Miller, Benjamin Steinhurst. Source: Journal of Commutative Algebra, Volume 12, Number 2, 263--291.Abstract: Dress and Siebeneicher gave a significant generalization of the construction of Witt vectors, by producing for any profinite group [math] , a ring-valued functor [math] . This...
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] . ...
Amir Bagheri, Kamran Lamei. Source: Journal of Commutative Algebra, Volume 12, Number 2, 153--169.Abstract: Using the concept of vector partition functions, we investigate the asymptotic behavior of graded Betti numbers of powers of homogeneous ideals in a polynomial ring over a field. Our main...
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