{"product_id":"groups-rings-modules-dover-books-on-mathematics","title":"Groups, Rings, Modules (Dover Books on Mathematics)","description":"\u003ch3\u003eBook Details\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Maurice Auslander\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBinding\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eNumber of Pages\u003c\/strong\u003e: 480\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date\u003c\/strong\u003e: 21-05-2014\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9780486490823\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eDimensions\u003c\/strong\u003e: 9.1 x 6.1 x 1.1 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguages\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch3\u003eAbout the Book\u003c\/h3\u003e\n\u003cp\u003e\u003cstrong\u003eTitle: Introduction to Commutative Algebra\u003c\/strong\u003e\u003cbr\u003eThis classic monograph by \u003cstrong\u003eMaurice Auslander\u003c\/strong\u003e is aimed at advanced undergraduates and graduate students with a foundation in sets, groups, rings, and vector spaces. It offers a comprehensive exploration of \u003cstrong\u003ecommutative algebra\u003c\/strong\u003e, a key branch of mathematics, and is an essential text for those studying the topic at an advanced level.\u003c\/p\u003e\n\u003ch4\u003eKey Features:\u003c\/h4\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eFour-Part Structure\u003c\/strong\u003e: The book is organized into four parts, each focusing on a distinct area of commutative algebra:\u003c\/p\u003e\n\u003col\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eSets and Maps, Monoids, Groups, Categories, and Rings\u003c\/strong\u003e: The first part establishes the foundational concepts of commutative algebra, essential for building a deeper understanding.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eFactorization Domains, Modules, Semisimple Rings\u003c\/strong\u003e: This section dives into \u003cstrong\u003eunique factorization domains\u003c\/strong\u003e, \u003cstrong\u003emodule theory\u003c\/strong\u003e, and \u003cstrong\u003esemisimple rings\u003c\/strong\u003e, offering advanced insights into algebraic structures.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLocalization, Tensor Products, Principal Ideal Domains\u003c\/strong\u003e: Part three covers key topics such as \u003cstrong\u003elocalization\u003c\/strong\u003e, \u003cstrong\u003etensor products\u003c\/strong\u003e, and the applications of the \u003cstrong\u003efundamental theorem\u003c\/strong\u003e of algebra.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eField Extensions and Dedekind Domains\u003c\/strong\u003e: The final part examines \u003cstrong\u003ealgebraic field extensions\u003c\/strong\u003e and \u003cstrong\u003eDedekind domains\u003c\/strong\u003e, critical for understanding algebraic number theory.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ol\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eExercises\u003c\/strong\u003e: Each chapter concludes with a series of exercises designed to test comprehension and help readers apply the material they have learned.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eHistorical Context\u003c\/strong\u003e: This work, originally published in 1974, is now republished by \u003cstrong\u003eDover Publications\u003c\/strong\u003e. It stands as an authoritative text in the field, retaining its relevance even decades after its original release.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch4\u003eAbout the Author:\u003c\/h4\u003e\n\u003cp\u003e\u003cstrong\u003eMaurice Auslander\u003c\/strong\u003e (1926–1994) was a \u003cstrong\u003eProfessor of Mathematics\u003c\/strong\u003e at \u003cstrong\u003eBrandeis University\u003c\/strong\u003e. He is renowned for his contributions to \u003cstrong\u003ecommutative algebra\u003c\/strong\u003e and \u003cstrong\u003emodule theory\u003c\/strong\u003e. His expertise and clear exposition make this text an invaluable resource for students and researchers in algebra. \u003cstrong\u003eDavid A. Buchsbaum\u003c\/strong\u003e, also from Brandeis University, contributed to the development of the text.\u003c\/p\u003e\n\u003chr\u003e\n\u003ch3\u003eWhy This Book is Important:\u003c\/h3\u003e\n\u003cp\u003eThis monograph is a cornerstone of \u003cstrong\u003ecommutative algebra\u003c\/strong\u003e literature, offering an in-depth, methodical treatment of the subject. It helps bridge the gap between undergraduate-level mathematics and the more advanced theoretical work in \u003cstrong\u003ealgebraic geometry\u003c\/strong\u003e and \u003cstrong\u003enumber theory\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp\u003eThe book is ideal for anyone seeking to understand the nuances of algebraic structures, offering a blend of theoretical exposition with practical exercises. Whether you are a student preparing for exams, a researcher exploring commutative algebra, or a self-study enthusiast, \u003cstrong\u003e\"Introduction to Commutative Algebra\"\u003c\/strong\u003e provides the foundational knowledge necessary for advancing in the field of mathematics.\u003c\/p\u003e\n\u003chr\u003e\n\u003cp\u003e\u003cstrong\u003eIntroduction to Commutative Algebra\u003c\/strong\u003e is a must-have reference for students of \u003cstrong\u003emathematics\u003c\/strong\u003e and researchers interested in \u003cstrong\u003ecommutative algebra\u003c\/strong\u003e, \u003cstrong\u003emodule theory\u003c\/strong\u003e, and related fields.\u003c\/p\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49941854519600,"sku":"Sarat_9780486490823","price":2135.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-groups-rings-modules-dover-books-on-mathematics-41291498914096.jpg?v=1775948771","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/groups-rings-modules-dover-books-on-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}