Classically Semisimple Rings: A Perspective Through Modules and Categories
Dis 2022 · Springer Nature
E-book
151
Mga Page
reportHindi na-verify ang mga rating at review Matuto Pa
Tungkol sa ebook na ito
Classically Semisimple Rings is a textbook on rings, modules and categories, aimed at advanced undergraduate and beginning graduate students.
The book presents the classical theory of semisimple rings from a modern, category-theoretic point of view. Examples from algebra are used to motivate the abstract language of category theory, which then provides a framework for the study of rings and modules, culminating in the Wedderburn–Artin classification of semisimple rings. In the last part of the book, readers are gently introduced to related topics such as tensor products, exchange modules and C*-algebras. As a final flourish, Rickart’s theorem on group rings ties a number of these topics together. Each chapter ends with a selection of exercises of varying difficulty, and readers interested in the history of mathematics will find biographical sketches of important figures scattered throughout the text.
The book presents the classical theory of semisimple rings from a modern, category-theoretic point of view. Examples from algebra are used to motivate the abstract language of category theory, which then provides a framework for the study of rings and modules, culminating in the Wedderburn–Artin classification of semisimple rings. In the last part of the book, readers are gently introduced to related topics such as tensor products, exchange modules and C*-algebras. As a final flourish, Rickart’s theorem on group rings ties a number of these topics together. Each chapter ends with a selection of exercises of varying difficulty, and readers interested in the history of mathematics will find biographical sketches of important figures scattered throughout the text.
Assuming previous knowledge in linear and basic abstract algebra, this book can serve as a textbook for a course in algebra, providing students with valuable early exposure to category theory.
Tungkol sa may-akda
Martin Mathieu is Professor of Pure Mathematics at Queen’s University Belfast. He received his Dr. rer.nat and his Habilitation from the University of Tübingen, where he was Privatdozent until 1998. After various spells at the University of the Saarland, Saarbrücken; the University of Iowa, Iowa City; and NUI Maynooth, Maynooth he moved to Northern Ireland where he has been living with his family since.
I-rate ang e-book na ito
Ipalaam sa amin ang iyong opinyon.
Impormasyon sa pagbabasa
Mga smartphone at tablet
I-install ang Google Play Books app para sa Android at iPad/iPhone. Awtomatiko itong nagsi-sync sa account mo at nagbibigay-daan sa iyong magbasa online o offline nasaan ka man.
Mga laptop at computer
Maaari kang makinig sa mga audiobook na binili sa Google Play gamit ang web browser ng iyong computer.
Mga eReader at iba pang mga device
Para magbasa tungkol sa mga e-ink device gaya ng mga Kobo eReader, kakailanganin mong mag-download ng file at ilipat ito sa iyong device. Sundin ang mga detalyadong tagubilin sa Help Center para mailipat ang mga file sa mga sinusuportahang eReader.
