A precise, fundamental study of commutative algebra, this largely self-contained treatment is the first in a two-volume set. Intended for advanced undergraduates and graduate students in mathematics, its prerequisites are the rudiments of set theory and linear algebra, including matrices and determinants
The second text in this two-book series extends the classical material of Volume I, which focuses on field theory and the ideal theory of Noetherian rings and Dedekind domains. The connection of Volume II's material to algebraic geometry is stressed throughout the presentation, making this book a practical introduction to some basic concepts and the arithmetical foundations of algebraic geometry. The opening chapter deals with properties of places and is followed by a chapter that explores the classical properties of polynomial and power series rings and their applications to algebraic geometry. The final chapter examines the theory of local rings, which provides the algebraic basis for the local study of algebraic and analytical varieties. Several helpful Appendixes conclude the text.
Algebraic number theory introduces students to new algebraic notions as well as related concepts: groups, rings, fields, ideals, quotient rings, and quotient fields. This text covers the basics, from divisibility theory in principal ideal domains to the unit theorem, finiteness of the class number, and Hilbert ramification theory. 1970 edition.
This book constitutes the refereed proceedings of the Second International Conference on Ad-Hoc Networks and Wireless, ADHOC- NOW 2003, held in Montreal, Canada in October 2003. The 23 revised full papers and 4 revised short papers presented were carefully reviewed and selected from 42 submissions. All current aspects of ad-hoc networking, mobile, wireless, and cooperating communication systems are addressed including network architectures, access control and discovery, multicasting protocols, performance, quality of service, QoS, routing protocols, scalability, security, and self-configuration
This book constitutes the refereed proceedings of the Third International Workshop on Mobile Agents for Telecommunication Applications, MATA 2001, held in Montreal, Canada in August 2001. The 26 revised full papers presented were carefully reviewed and selected for inclusion in the volume. Among the topics addressed are network management, mobile applications, nomadic computing, feature interaction, Internet applications, QoS managment, policy-based management, interactive multimedia, tele-learning, and computer telephony integration.