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...

Sihua Liang, Nguyen Thanh Chung, Binlin Zhang. Source: Advances in Differential Equations, Volume 25, Number 7/8, 423--456.Abstract: In this article, we consider the existence of multi-bump solutions for a class of the fractional Schrödinger equation with external magnetic field and critical...

Xiaopeng Zhao. Source: Advances in Differential Equations, Volume 25, Number 7/8, 373--422.Abstract: In this paper, by using the properties of decay character and the Fourier splitting method, we establish the time decay rates of solutions for three-dimensional incompressible electron inertial...

Davide Guidetti. Source: Advances in Differential Equations, Volume 25, Number 7/8, 335--372.Abstract: We show a perturbation theorem of Myiadera type for linear abstract non-autonomous Cauchy problems. We exhibit an application to a hyperbolic system with dynamic boundary conditions. ...

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] . ...