عنوان

Commutative algebra : constructive methods : finite projective modules

شماره استاندارد

electronic

عنوان اصلي

Commutative algebra : constructive methods : finite projective modules

محل نشرو پخش و غیره

Dordrecht

نام ناشر، پخش کننده و غيره

Springer

تاریخ نشرو بخش و غیره

2015

نام خاص و کميت اثر

xlix, 996 p

عنوان فروست

Algebras and applications ; volume 02

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Henri Lombardi, Claude Quitte

متن يادداشت

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative. The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prیfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century. This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors, and theoretical computer scientists

عنصر شناسه ای

، Commutative algebra

عنصر شناسه ای

، MATHEMATICS / Algebra / Intermediate

شماره رده

کد نقش

AU

عنصر شناسه اي

AU Lombardi, Henri author

عنصر شناسه اي

AU Quitte, Claude author

عنصر شناسه اي

AU Roblot, Tania K. translator