عنوان

An invitation to general algebra and universal constructions

شابک

9783319114774

کد کشور

IR

شماره

10734

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

An invitation to general algebra and universal constructions

نام عام مواد

[Book]

نام نخستين پديدآور

/ George M. Bergman.

وضعيت ويراست

2nd ed

محل نشرو پخش و غیره

Cham

نام ناشر، پخش کننده و غيره

Springer International Publishing : Imprint: Springer

تاریخ نشرو بخش و غیره

, 2015.

نام خاص و کميت اثر

X, 572 pages 90 illustrations

عنوان فروست

Universitext, 0172-5939

متن يادداشت

Language: انگلیسی

متن يادداشت

Print

متن يادداشت

INDEX

متن يادداشت

1 About the course, and these notes -- Part I: Motivation and Examples -- 2 Making Some Things Precise -- 3 Free Groups -- 4 A Cook's Tour -- Part II: Basic Tools and Concepts -- 5 Ordered Sets, Induction, and the Axiom of Choice -- 6 Lattices, Closure Operators, and Galois Connections -- 7 Categories and Functors -- 8 Universal Constructions -- 9 Varieties of Algebras -- Part III: More on Adjunctions -- 10 Algebras, Coalgebras, and Adjunctions -- References -- List of Exercises -- Symbol Index -- Word and Phrase Index.

بدون عنوان

0

متن يادداشت

Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.

عنصر شناسه ای

Algebra.

عنصر شناسه ای

Associative rings.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

M. Bergman, George

کشور

ایران

سازمان

دانشگاه محقق اردبیلی

تاريخ عمليات

20231204

وضعیت فهرست نویسی

old catalog

فرمت انتشار

p

نوع ماده

BL

کد کاربرگه

270410

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y