عنوان

Algebra :

شابک

3319197347

شابک

9783319197340

شابک اشتباه

9783319197333

شماره

dltt

عنوان اصلي

Algebra :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a teaching and source book /

نام نخستين پديدآور

Ernest Shult, David Surowski

نام خاص و کميت اثر

1 online resource (xxii, 539 pages) :

ساير جزييات

illustrations

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Basics -- Basic Combinatorial Principles of Algebra -- Review of Elementary Group Properties -- Permutation Groups and Group Actions -- Normal Structure of Groups -- Generation in Groups -- Elementary Properties of Rings -- Elementary properties of Modules -- The Arithmetic of Integral Domains -- Principal Ideal Domains and Their Modules -- Theory of Fields -- Semiprime Rings -- Tensor Products

بدون عنوان

0

متن يادداشت

This book presents a graduate-level course on modern algebra. It can be used as a teaching book - owing to the copious exercises - and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan-Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Field Theory and Polynomials.

موضوع مستند نشده

Group Theory and Generalizations.

موضوع مستند نشده

MAT002010

موضوع مستند نشده

PBF

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Shult, Ernest

مستند نام اشخاص تاييد نشده

Surowski, David,1949-

مستند نام تنالگان تاييد نشده

Ohio Library and Information Network.

تاريخ عمليات

20150814093555.2

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y