{"product_id":"algebra-a-teaching-and-source-book","title":"Algebra: A Teaching and Source Book","description":"\u003cp\u003eThis book presents a graduate-level course on modern algebra. It can be used as a teaching book - owing to the copious exercises - and as a source book for those who wish to use the major theorems of algebra.  The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan-Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products.  Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student.\u003c\/p\u003e","brand":"Ernest Shult","offers":[{"title":"Default Title","offer_id":51681883422936,"sku":"9783319197333","price":1155.0,"currency_code":"EGP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0807\/5572\/0408\/files\/51k6WL41cdL._SL1254.jpg?v=1778679576","url":"https:\/\/www.abcacademic.com\/products\/algebra-a-teaching-and-source-book","provider":"Academic Bookshop Co.","version":"1.0","type":"link"}