Martin Saal. Source: Advances in Differential Equations, Volume 25, Number 11/12, 651--685.Abstract: We consider the $3D$ primitive equations and show, that one does need less than horizontal viscosity to obtain a well-posedness result in Sobolev spaces. Furthermore, we will also investigate the...

Matania Ben-Artzi, Michael Ruzhansky, Mitsuru Sugimoto. Source: Advances in Differential Equations, Volume 25, Number 11/12, 627--650.Abstract: Smoothing (and decay) spacetime estimates are discussed for evolution groups of self-adjoint operators in an abstract setting. The basic assumption is the...

Tatsu-Hiko Miura. Source: Advances in Differential Equations, Volume 25, Number 9/10, 457--626.Abstract: We consider the Navier–Stokes equations with Navier's slip boundary conditions in a three-dimensional curved thin domain around a given closed surface. Under suitable assumptions, we show that...

Antonio Macchia, Jorge Neves, Maria Vaz Pinto, Rafael H. Villarreal. Source: Journal of Commutative Algebra, Volume 12, Number 3, 391--407.Abstract: Let [math] be a graph obtained by taking [math] paths and identifying all first vertices and identifying all last vertices. We compute the...

Mitra Koley. Source: Journal of Commutative Algebra, Volume 12, Number 3, 371--389.Abstract: Let [math] or [math] , where [math] is a field of arbitrary characteristic and [math] are indeterminates. In this paper we will show that there is an order preserving embedding from the poset of Hilbert...

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...

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