Concept

Structure theorem for finitely generated modules over a principal ideal domain

Related publications (87)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Calculating the second harmonic near field radiation pattern from a LiNbO3 nanowire using a nonlinear Volume Integral Equation Method

Demetri Psaltis

We propose a novel nonlinear Volume Integral Equation formulation for second harmonic scattering problems, which we use for the calculation of the second harmonic near field generated from LiNbO3 nanowires. (C) 2010 Optical Society of America ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Matching Pursuit Iterative Dipole Based Filter of Background Fields in Phase Imaging

Rolf Gruetter, Yves Wiaux, José Pedro Rebelo Ferreira Marques

The information present in the phase of gradient-echo images has opened a new window to look at fine brain anatomy. To obtain high quality phase images depicting small field perturbations produced by tissue susceptibility differences, large slowly spatiall ...

2011

A Complete Invariant Generation Approach for P-solvable Loops

Laura Ildiko Kovacs

We present an algorithm for generating all polynomial invariants of P-solvable loops with assignments and nested conditionals. We prove termination of our algorithm. The proof relies on showing that the dimensions of the prime ideals from the minimal decom ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010

Optically Generated Electric Fields by Lithium Niobate Nanowires

Demetri Psaltis, László Forró, Arnaud Magrez, Ye Pu, Rachel Grange, Chia-Lung Hsieh, Jae-Woo Choi, Rita Smajda

We demonstrate that lithium niobate nanowires generate electric fields under 514 nm continuous wave laser illumination. Birefringent media are used to visualize the generated fields in a microfluidic channel. Input laser polarization dependence is shown. ( ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Projective modules over the real algebraic sphere of dimension 3

Jean Fasel

Let A be a commutative noetherian ring of Krull dimension 3. We give a necessary and sufficient condition for A-projective modules of rank 2 to be free. Using this, we show that all the finitely generated projective modules over the algebraic real 3-sphere ...

2010

Annihilating Polynomials for Quadratic Forms

Klaas-Tido Rühl

Let K be a field with char(K) ≠ 2. The Witt-Grothendieck ring (K) and the Witt ring W (K) of K are both quotients of the group ring ℤ[𝓖(K)], where 𝓖(K) := K*/(K*)2 is the square class group of K. Since ℤ[𝓖(K)] is integra ...

EPFL2010

Twisting structures and strongly homotopy morphisms

Kathryn Hess Bellwald

In an application of the notion of twisting structures introduced by Hess and Lack, we define twisted composition products of symmetric sequences of chain complexes that are degreewise projective and finitely generated. Let Q be a cooperad and let BP be th ...

2010

Tensor Products of Weil Modules

Alex Monnard

The aim of this work is to understand the decomposition, in irreducible modules, of tensor products of Weil modules for Sp2n(3). To do this, we begin by computing the Weil modules for Sp4(3), Sp6(3) and Sp8(3) in order to understand how tensor products dec ...

2010

Two-stage column generation

Michel Bierlaire, Matteo Salani, Ilaria Vacca

We introduce a new concept in column generation for handling complex large scale optimization problems, called two-stage column generation, where columns for the compact and extensive formulation are simultaneously generated. The new framework is specifica ...

2010

Separation and Duality in Locally L0-Convex Modules

Damir Filipovic

Motivated by financial applications, we study convex analysis for modules over the ordered ring L0 of random variables. We establish a module analogue of locally convex vector spaces, namely locally L0-convex modules. In this context, we prove hyperplane s ...

2009