Concept

Projective module

Related publications (179)

Why H Z-algebra Spectra are Differential Graded Algebras?

In homological algebra, to understand commutative rings R, one studies R-modules, chain complexes of R-modules and their monoids, the differential graded R-algebras. The category of R-modules has a rich structure, but too rigid to efficiently work with hom ...

2010

Categorical Foundations for K-theory

Nicolas Mathieu Michel

K-Theory was originally defined by Grothendieck as a contravariant functor from a subcategory of schemes to abelian groups, known today as K0. The same kind of construction was then applied to other fields of mathematics, like spaces and (not necessarily c ...

EPFL2010

Proposition of a Modular I2C-Based Wearable Architecture

Daniel Thalmann, Xavier Righetti

In this paper we propose a novel wearable architecture based on the popular and proven I2C protocol. Our goal is to develop a modular approach towards wearable computing in a sense that users simply attach specific modules to their garments depending on th ...

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

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

A Modular Approach towards Wearable Computing

Xavier Righetti

Thanks to recent improvements in electronics, conductive materials and energy storage capabilities, we are now able to embed small circuits but also ultra-mobile PCs (UMPC) into clothes. These devices are able to sense, process and communicate information ...

EPFL2010

Bar constructions and Quillen homology of modules over operads

We show that topological Quillen homology of algebras and modules over operads in symmetric spectra can be calculated by realizations of simplicial bar constructions. Working with several model category structures, we give a homotopical proof after showing ...

2010

RVC: a Multi-Decoder CAL Composer tool

Marco Mattavelli, Ghislain Roquier

The Reconfigurable Video Coding (RVC) framework is a recent ISO standard aiming at providing a unified specification of MPEG video technology in the form of a library of components. The word “reconfigurable” evokes run-time instantiation of different decod ...

2010

Roombots: Reconfigurable Robots for Adaptive Furniture

Auke Ijspeert, Pierre Dillenbourg, Aude Billard, Alexander Spröwitz, Soha Pouya, Jesse van den Kieboom, Rico Möckel, Stéphane Bonardi

Imagine a world in which our furniture moves around like legged robots, interacts with us, and changes shape and function during the day according to our needs. This is the long term vision we have in the Roombots project. To work towards this dream, we ar ...

2010

Biophysical Basis of the Diffusion-Weighted Magnetic Resonance Signal in the Rat Brain

Nicolas Kunz

Nuclear magnetic resonance (NMR) can be used in-vivo in a vast array of applications, such as anatomical imaging (magnetic resonance imaging, MRI), localized chemical composition characterization (magnetic resonance spectroscopy, MRS), cellular structure a ...

EPFL2010

Robotique collective et auto-assemblage

Michael Bonani

We present a study of collective robotics by including a mechatronics point of view. In the field it is usually claimed that collective robots are simple and relatively cheap because they are produced in large quantities. Instead in our study we show that ...

EPFL2010

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.