Introduction to Noncommutative Algebra
暫譯: 非交換代數入門

Bresar, Matej

Introduction to Noncommutative Algebra
  • 出版商: Springer
  • 出版日期: 2025-08-30
  • 售價: $2,480
  • 貴賓價: 9.5 折 $2,356
  • 語言: 英文
  • 頁數: 234
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031962958
  • ISBN-13: 9783031962950
  • 相關分類: 離散數學 Discrete-mathematics

    • 海外代購書籍(需單獨結帳)

商品描述

This textbook offers an elementary introduction to noncommutative rings and algebras. Beginning with the classical theory of finite-dimensional algebras, it then develops a more general structure theory of rings, grounded in modules and tensor products. The final chapters cover free algebras, polynomial identities, and rings of quotients.

Many results are presented in a simplified form rather than in full generality, with an emphasis on clear and understandable exposition. Prerequisites are kept to a minimum, and new concepts are introduced gradually and carefully motivated. Introduction to Noncommutative Algebra is thus accessible to a broad mathematical audience, though it is primarily intended for beginning graduate students and advanced undergraduates encountering the subject for the first time.

This new edition includes several additions and improvements, while preserving the original text's character and approach.

Praise for the first edition:

"It will soon find its place in classrooms" -- Plamen Koshlukov, Mathematical Reviews

"Very well written [...] very pleasant to read" -- Veereshwar A. Hiremath, zbMATH

"An excellent choice for a first graduate course" -- D. S. Larson, Choice

商品描述(中文翻譯)

這本教科書提供了對非交換環和代數的初步介紹。從有限維代數的經典理論開始，然後發展出基於模和張量積的更一般的環結構理論。最後幾章涵蓋了自由代數、多項式恆等式和商環。

許多結果以簡化的形式呈現，而不是以完全的一般性，強調清晰易懂的闡述。先決條件保持在最低限度，新概念逐步引入並仔細說明。因此，《非交換代數導論》對廣泛的數學讀者都是可接觸的，儘管它主要針對首次接觸該主題的初級研究生和高年級本科生。

這個新版本包含了幾個新增和改進的部分，同時保留了原始文本的特性和方法。

對於第一版的讚譽：
「它很快將在課堂上找到它的位置」-- Plamen Koshlukov, 數學評論
「寫得非常好 [...] 非常愉快的閱讀」-- Veereshwar A. Hiremath, zbMATH
「對於第一門研究生課程來說是一個絕佳的選擇」-- D. S. Larson, Choice

作者簡介

Matej Bresar is a Professor of Mathematics at University of Ljubljana and University of Maribor. His research focus lies in noncommutative algebra and its applications. He is the author or co-author of over 175 research papers as well as four books published by Springer Nature.

作者簡介(中文翻譯)

Matej Bresar 是盧布爾雅那大學和馬里博爾大學的數學教授。他的研究重點在於非交換代數及其應用。他是超過175篇研究論文的作者或合著者，以及四本由Springer Nature出版的書籍的作者。

類似商品

最後瀏覽商品 (20)