Can I read Bounds for Numbers of Generators for a Class of Submodules of a Finitely Generated Module on EtoBox?

Bounds for Numbers of Generators for a Class of Submodules of a Finitely Generated Module by Sharif, Tirdad; Yassemi, Siamak is a scholarly article available to read on EtoBox.

What is Bounds for Numbers of Generators for a Class of Submodules of a Finitely Generated Module about?

The aim of this paper is to obtain a uniform bound for a certain class of submodules from the following theorem: Let $(R,\frak m)$ be a local ring, let $M$ be a finite $R$--module of dimension $d\ge 1$ and let $\frak q$ be an ideal of $R$ generated by a system of parameters on $M$. Let $N$ be a submodule of $M$ with $\depth M/N\ge d-1$. Then $\ell(N/\frak qN)\le\ell(M/\frak qM)$.

Author

Sharif, Tirdad; Yassemi, Siamak

Published

2002

Language

EN