{"product_id":"algebra","title":"Algebra","description":"From rings to modules to groups to fields, this undergraduate introduction to abstract algebra follows an unconventional path. The text emphasizes a modern perspective on the subject, with gentle mentions of the unifying categorical principles underlying the various constructions and the role of universal properties. A key feature is the treatment of modules, including a proof of the classification theorem for finitely generated modules over Euclidean domains. Noetherian modules and some of the language of exact complexes are introduced. In addition, standard topics - such as the Chinese Remainder Theorem, the Gauss Lemma, the Sylow Theorems, simplicity of alternating groups, standard results on field extensions, and the Fundamental Theorem of Galois Theory - are all treated in detail. Students will appreciate the text's conversational style, 400+ exercises, an appendix with complete solutions to around 150 of the main text problems, and an appendix with general background on basic logic and naïve set theory.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":47106161508404,"sku":"9781108958233","price":45.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0699\/8638\/5972\/files\/imageloader_1feae5d1-253c-4735-a050-e35fde7844ee.jpg?v=1758228013","url":"https:\/\/worldcaribbeanbooks.com\/products\/algebra","provider":"World Caribbean Books","version":"1.0","type":"link"}