Lectures in abstract algebra : v. 1. Basic concepts

Jacobson, Nathan, 1910-1999.

ISBN 10: 0387901817 / ISBN 13: 9780387901817

Published by Princeton, N. J. ; New York ; Toronto [etc] : D. Van Nostrand, , 1951, 1962, 1962

About this Item

1st ed., 6th printing ; xii, 217 pp. ; diagrams ; LCCN: 51-10909 ; OCLC: 523831; LC: QA266; Dewey: 512.89 ; ISBN: 0387901817 ; mottled worn blue cloth ; no dustjacket ; "Nathan Jacobson (October 5, 1910 - December 5, 1999) was an American mathematician. Born in Warsaw, Poland (then part of Russia) he emigrated to America with his Jewish family in 1918. Recognized as one of the leading algebraists of his generation, he was also famous for writing more than a dozen standard textbooks. He graduated from the University of Alabama in 1930 and was awarded a doctorate in mathematics from Princeton University in 1934. While working on his thesis, Non-commutative polynomials and cyclic algebras, he was advised by Joseph Wedderburn. Jacobson taught and researched at Bryn Mawr College (1935-1936), the University of Chicago (1936-1937), the University of North Carolina at Chapel Hill (1937-1943), and Johns Hopkins University (1943-1947) before joining Yale University in 1947. He remained at Yale until his retirement. ; Contents: Concepts from set theory; the system of natural numbers -- Semi-groups and groups -- Rings, integral domains and fields -- Extensions of rings and fields (polynomial rings, symmetric polynomials, rings of functions, etc) -- Elementary factorization theory (Gaussian semi-groups, principle ideal domains, Euclidean domains, etc) -- Groups with operators (Schreier's theorem, chain conditions, projections, Kull-Schmidt theorem, etc) -- Modules and ideals (Generators, unitary modules, Hilbert basis theorem, Noetherian rings, integral dependence, integers of quadratic fields, etc) -- Lattices (modular lattices, independence, Boolean algebras, etc) ; G.

Seller Inventory # 005609

Bibliographic Details

• Title: Lectures in abstract algebra : v. 1. Basic concepts
• Publisher: Princeton, N. J. ; New York ; Toronto [etc] : D. Van Nostrand, , 1951, 1962
• Publication Date: 1962
• Language: English
• ISBN 10: 0387901817
• ISBN 13: 9780387901817
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Good
• Book Type: Book
• Seller catalogs:
  • Catalog 78 - Sciences

About this title

Synopsis

The present volume is the first of three that will be published under the general title Lectures in Abstract Algebra. These vol­ umes are based on lectures which the author has given during the past ten years at the University of North Carolina, at The Johns Hopkins University, and at Yale "University. The general plan of the work IS as follows: The present first volume gives an introduction to abstract algebra and gives an account of most of the important algebraIc concepts. In a treatment of this type it is impossible to give a comprehensive account of the topics which are introduced. Nevertheless we have tried to go beyond the foundations and elementary properties of the algebraic sys­ tems. This has necessitated a certain amount of selection and omission. We feel that even at the present stage a deeper under­ standing of a few topics is to be preferred to a superficial under­ standing of many. The second and third volumes of this work will be more special­ ized in nature and will attempt to give comprehensive accounts of the topics which they treat. Volume II will bear the title Linear Algebra and will deal with the theorv of vectQ!_JlP. -a. ces. . . . . Volume III, The Theory of Fields and Galois Theory, will be con­ cerned with the algebraic structure offieras and with valuations of fields. All three volumes have been planned as texts for courses.