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...

Federico Galetto. Source: Journal of Commutative Algebra, Volume 12, Number 2, 199--215.Abstract: An explicit construction is given of a minimal free resolution of the ideal generated by all squarefree monomials of a given degree. The construction relies upon and exhibits the natural action of the...

Stefania Gabelli, Moshe Roitman. Source: Journal of Commutative Algebra, Volume 12, Number 2, 179--198.Abstract: Among other results, we prove the following: A locally Archimedean stable domain satisfies accp. A stable domain R is Archimedean if and only if every nonunit of R ...

Wenjing Zhu, Yonghui Xia, Yuzhen Bai. Source: Advances in Differential Equations, Volume 25, Number 5/6, 279--314.Abstract: This paper is to find new exact traveling wave solutions of the nonlinear Gerdjikov-Ivanov (for short, GI) equation with perturbation terms. Based on employing the...

Huashui Zhan, Zhaosheng Feng. Source: Advances in Differential Equations, Volume 25, Number 5/6, 255--278.Abstract: We are concerned with the stability of polytropic filtration equation with variable exponents, when the degeneracy occurs on the boundary. The existence and the local integrability...

Yanbo Hu, Jiequan Li. Source: Advances in Differential Equations, Volume 25, Number 5/6, 213--254.Abstract: Supersonic-sonic patches are ubiquitous in regions of transonic flows and they boil down to a family of degenerate hyperbolic problems in regions surrounded by a streamline, a characteristic...

Liangchen Li, Hengyan Li, Weiping Yan. Source: Advances in Differential Equations, Volume 25, Number 5/6, 315--334.Abstract: This paper mainly studies the explicit wave-breaking mechanism and dynamical behavior of solutions near the explicit self-similar singularity for the Camassa-Holm and...

Colby Long. Source: Journal of Commutative Algebra, Volume 12, Number 1, 91--105.Abstract: We explore the relationship between secant ideals and initial ideals of [math] , the ideal of the Grassmannian, [math] . The [math] -secant of [math] is the ideal generated by the [math] subpfaffians of a...