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] . ...

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...

Jerome William Hoffman, Xiaohong Jia, Haohao Wang. Source: Journal of Commutative Algebra, Volume 12, Number 2, 237--261.Abstract: A quaternion rational surface is a rational surface generated by two rational space curves via quaternion multiplication. In general, the structure of the graded...

Tadahito Harima, Akihito Wachi, Junzo Watanabe. Source: Journal of Commutative Algebra, Volume 12, Number 2, 217--235.Abstract: We compute the resultants for quadratic binomial complete intersections. As an application we show that any quadratic binomial complete intersection can have the set of...