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A corollary to the Evans-Griffith Syzygy theorem

Anne-Marie Simon (1995)

Rendiconti del Seminario Matematico della Università di Padova

A standard basis approach to syzygies of canonical curves.

Frank Olaf Schreyer (1991)

Journal für die reine und angewandte Mathematik

About G-rings

Najib Mahdou (2017)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we are concerned with G-rings. We generalize the Kaplansky’s theorem to rings with zero-divisors. Also, we assert that if $R \subseteq T$ is a ring extension such that $m T \subseteq R$ for some regular element $m$ of $T$ , then $T$ is a G-ring if and only if so is $R$ . Also, we examine the transfer of the G-ring property to trivial ring extensions. Finally, we conclude the paper with illustrative examples discussing the utility and limits of our results.

ACM sets of points in multiprojective space

Elena Guardo, Adam Van Tuyl (2008)

Collectanea Mathematica

Algebraic properties of edge ideals via combinatorial topology.

Dochtermann, Anton, Engström, Alexander (2009)

The Electronic Journal of Combinatorics [electronic only]

An Algebraic Formula for the Index of a Vector Field on an Isolated Complete Intersection Singularity

H.-Ch. Graf von Bothmer, Wolfgang Ebeling, Xavier Gómez-Mont (2008)

Annales de l’institut Fourier

Let $(V, 0)$ be a germ of a complete intersection variety in $ℂ^{n + k}$ , $n > 0$ , having an isolated singularity at $0$ and $X$ be the germ of a holomorphic vector field having an isolated zero at $0$ and tangent to $V$ . We show that in this case the homological index and the GSV-index coincide. In the case when the zero of $X$ is also isolated in the ambient space $ℂ^{n + k}$ we give a formula for the homological index in terms of local linear algebra.