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OverviewThis volume contains the Proceedings of an International Conference on Noncommutative Rings and Their Applications, held July 1-4, 2013, at the Universite d'Artois, Lens, France. It presents recent developments in the theories of noncommutative rings and modules over such rings as well as applications of these to coding theory, enveloping algebras, and Leavitt path algebras. Material from the course ``Foundations of Algebraic Coding Theory``, given by Steven Dougherty, is included and provides the reader with the history and background of coding theory as well as the interplay between coding theory and algebra. In module theory, many new results related to (almost) injective modules, injective hulls and automorphism-invariant modules are presented. Broad generalizations of classical projective covers are studied and category theory is used to describe the structure of some modules. In some papers related to more classical ring theory such as quasi duo rings or clean elements, new points of view on classical conjectures and standard open problems are given. Descriptions of codes over local commutative Frobenius rings are discussed, and a list of open problems in coding theory is presented within their context. Full Product DetailsAuthor: Steven Dougherty , Alberto Facchini , Andre Leroy , Edmund PuczylowskiPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 634 Weight: 0.396kg ISBN: 9781470410322ISBN 10: 147041032 Pages: 265 Publication Date: 30 April 2015 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviewsAuthor InformationSteven Dougherty, University of Scranton, PA, USA. Alberto Facchini, Universita di Padova, Italy. Andre Leroy, Universite d'Artois, Lens, France. Edmund Puczylowski, University of Warsaw, Poland. Patrick Sole, CNRS/LTCI, Telecom ParisTech, France. Tab Content 6Author Website:Countries AvailableAll regions |