Spelling suggestions: "subject:"maximal donacaula"" "subject:"maximal macaulay""
1 |
Módulos de UlrichMaia, Mariana de Brito 29 April 2013 (has links)
Submitted by Maike Costa (maiksebas@gmail.com) on 2016-03-21T14:11:17Z
No. of bitstreams: 1
arquivo total.pdf: 931330 bytes, checksum: 351b504f68153fb01d23f3fd1d96d2a0 (MD5) / Made available in DSpace on 2016-03-21T14:11:17Z (GMT). No. of bitstreams: 1
arquivo total.pdf: 931330 bytes, checksum: 351b504f68153fb01d23f3fd1d96d2a0 (MD5)
Previous issue date: 2013-04-29 / In this work, after the introduction of some concepts of Commutative Algebra, for instance
dimension, minimal number of generators, and multiplicity, we prove the existence of a very
special class of modules over Cohen-Macaulay rings, the so-called Ulrich modules. It is known
that, if M is a maximal Cohen-Macaulay module over such ring, then (M) e(M). Our
goal in this study is to prove the main cases where the equality (M) e(M) holds. / Neste trabalho, após introduzirmos alguns conceitos de Álgebra Comutativa, como
dimensão, número mínimo de geradores, e multiplicidade, provamos a existência de uma
classe de módulos bastante especial sobre anéis Cohen-Macaulay, os chamados módulos de
Ulrich. É sabido que, se M é um A-módulo Cohen-Macaulay maximal sobre um tal anel,
então (M) e(M). O objetivo do nosso estudo é demonstrar os principais casos em que
vale (M) = e(M).
|
2 |
Hilbert-Kunz functions of surface rings of type ADE / Hilbert-Kunz Funktionen zweidimensionaler Ringe vom Typ ADEBrinkmann, Daniel 27 August 2013 (has links)
We compute the Hilbert-Kunz functions of two-dimensional rings of type ADE by using representations of their indecomposable, maximal
Cohen-Macaulay modules in terms of matrix factorizations, and as first syzygy modules of homogeneous ideals.
|
Page generated in 0.0345 seconds