{"product_id":"a-course-in-ring-theory-ams-chelsea-publishing","title":"A Course in Ring Theory (AMS Chelsea Publishing)","description":"\u003cp data-start=\"0\" data-end=\"18\"\u003e\u003cstrong data-start=\"0\" data-end=\"16\"\u003eBook Details\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul data-start=\"19\" data-end=\"253\"\u003e\n\u003cli data-start=\"19\" data-end=\"52\"\u003e\n\u003cp data-start=\"21\" data-end=\"52\"\u003e\u003cstrong data-start=\"21\" data-end=\"34\"\u003ePublisher\u003c\/strong\u003e: Chelsea Pub Co\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"53\" data-end=\"87\"\u003e\n\u003cp data-start=\"55\" data-end=\"87\"\u003e\u003cstrong data-start=\"55\" data-end=\"65\"\u003eAuthor\u003c\/strong\u003e: Passman, Donald S.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"88\" data-end=\"113\"\u003e\n\u003cp data-start=\"90\" data-end=\"113\"\u003e\u003cstrong data-start=\"90\" data-end=\"102\"\u003eLanguage\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"114\" data-end=\"140\"\u003e\n\u003cp data-start=\"116\" data-end=\"140\"\u003e\u003cstrong data-start=\"116\" data-end=\"127\"\u003eBinding\u003c\/strong\u003e: Hardcover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"141\" data-end=\"168\"\u003e\n\u003cp data-start=\"143\" data-end=\"168\"\u003e\u003cstrong data-start=\"143\" data-end=\"151\"\u003eISBN\u003c\/strong\u003e: 9780821836804\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"169\" data-end=\"201\"\u003e\n\u003cp data-start=\"171\" data-end=\"201\"\u003e\u003cstrong data-start=\"171\" data-end=\"187\"\u003eRelease Date\u003c\/strong\u003e: 01-05-2005\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"202\" data-end=\"253\"\u003e\n\u003cp data-start=\"204\" data-end=\"253\"\u003e\u003cstrong data-start=\"204\" data-end=\"226\"\u003ePackage Dimensions\u003c\/strong\u003e: 10.2 x 7.3 x 0.9 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr data-start=\"255\" data-end=\"258\"\u003e\n\u003cp data-start=\"260\" data-end=\"280\"\u003e\u003cstrong data-start=\"260\" data-end=\"278\"\u003eAbout The Book\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp data-start=\"282\" data-end=\"608\"\u003e\u003cem data-start=\"282\" data-end=\"307\"\u003eFirst published in 1991\u003c\/em\u003e, this book provides the core material for an undergraduate first course in ring theory, with a focus on \u003cstrong data-start=\"412\" data-end=\"426\"\u003eprojective\u003c\/strong\u003e and \u003cstrong data-start=\"431\" data-end=\"452\"\u003einjective modules\u003c\/strong\u003e. \u003cstrong data-start=\"454\" data-end=\"475\"\u003eDonald S. Passman\u003c\/strong\u003e brings a comprehensive approach to both commutative and noncommutative ring theory, covering various essential aspects of the field.\u003c\/p\u003e\n\u003cp data-start=\"610\" data-end=\"647\"\u003eThe book is divided into three parts:\u003c\/p\u003e\n\u003cul data-start=\"649\" data-end=\"1304\"\u003e\n\u003cli data-start=\"649\" data-end=\"945\"\u003e\n\u003cp data-start=\"651\" data-end=\"945\"\u003e\u003cstrong data-start=\"651\" data-end=\"681\"\u003ePart I: Projective Modules\u003c\/strong\u003e\u003cbr data-start=\"681\" data-end=\"684\"\u003eIt starts with the basics of module theory and progresses into an in-depth study of special classes of rings such as Wedderburn, Artinian, Noetherian, hereditary rings, and Dedekind domains. The section concludes with an introduction to projective dimension.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"949\" data-end=\"1149\"\u003e\n\u003cp data-start=\"951\" data-end=\"1149\"\u003e\u003cstrong data-start=\"951\" data-end=\"980\"\u003ePart II: Polynomial Rings\u003c\/strong\u003e\u003cbr data-start=\"980\" data-end=\"983\"\u003eThis part explores polynomial rings in a noncommutative setting, providing significant results like the \u003cstrong data-start=\"1090\" data-end=\"1116\"\u003eHilbert Syzygy Theorem\u003c\/strong\u003e and \u003cstrong data-start=\"1121\" data-end=\"1148\"\u003eHilbert Nullstellensatz\u003c\/strong\u003e.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1151\" data-end=\"1304\"\u003e\n\u003cp data-start=\"1153\" data-end=\"1304\"\u003e\u003cstrong data-start=\"1153\" data-end=\"1184\"\u003ePart III: Injective Modules\u003c\/strong\u003e\u003cbr data-start=\"1184\" data-end=\"1187\"\u003eIt covers topics such as the \u003cstrong data-start=\"1219\" data-end=\"1238\"\u003eGoldie Theorems\u003c\/strong\u003e and characterizations of injective modules over Noetherian rings.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"1306\" data-end=\"1492\"\u003eThis book is ideal for \u003cstrong data-start=\"1329\" data-end=\"1350\"\u003egraduate students\u003c\/strong\u003e and \u003cstrong data-start=\"1355\" data-end=\"1370\"\u003eresearchers\u003c\/strong\u003e with a keen interest in ring theory. It also includes exercises and a list of additional reading for further exploration.\u003c\/p\u003e\n\u003cp data-start=\"1494\" data-end=\"1512\"\u003e\u003cstrong data-start=\"1494\" data-end=\"1510\"\u003eKey Features\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul data-start=\"1513\" data-end=\"1786\"\u003e\n\u003cli data-start=\"1513\" data-end=\"1592\"\u003e\n\u003cp data-start=\"1515\" data-end=\"1592\"\u003e\u003cstrong data-start=\"1515\" data-end=\"1541\"\u003eComprehensive coverage\u003c\/strong\u003e of ring theory, projective and injective modules\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1593\" data-end=\"1646\"\u003e\n\u003cp data-start=\"1595\" data-end=\"1646\"\u003e\u003cstrong data-start=\"1595\" data-end=\"1617\"\u003eNumerous exercises\u003c\/strong\u003e to reinforce understanding\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1647\" data-end=\"1706\"\u003e\n\u003cp data-start=\"1649\" data-end=\"1706\"\u003e\u003cstrong data-start=\"1649\" data-end=\"1683\"\u003eAdditional reading suggestions\u003c\/strong\u003e for deeper knowledge\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1707\" data-end=\"1734\"\u003e\n\u003cp data-start=\"1709\" data-end=\"1734\"\u003e\u003cstrong data-start=\"1709\" data-end=\"1717\"\u003eISBN\u003c\/strong\u003e: 9780821836804\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1735\" data-end=\"1786\"\u003e\n\u003cp data-start=\"1737\" data-end=\"1786\"\u003e\u003cstrong data-start=\"1737\" data-end=\"1759\"\u003ePackage Dimensions\u003c\/strong\u003e: 10.2 x 7.3 x 0.9 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"HINDUSTAN BOOK AGENCY","offers":[{"title":"Default Title","offer_id":49901316931888,"sku":"Sarat_9789380250526","price":357.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/hindustan-book-agency-book-default-title-a-course-in-ring-theory-ams-chelsea-publishing-41178325975344.jpg?v=1775965182","url":"https:\/\/www.retailmaharaj.com\/products\/a-course-in-ring-theory-ams-chelsea-publishing","provider":"Retail Maharaj","version":"1.0","type":"link"}