{"product_id":"algebra-von-ernest-shult","title":"Algebra","description":"\n                                \n                \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.\u003c\/p\u003e\n                                \n                \u003cp\u003eThe 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.\u003c\/p\u003e\n                                \n                \u003cp\u003eBeginning 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\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319197333\"\u003e\u003ch3\u003eA Teaching and Source Book\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783319197333","offer_id":39426506227805,"sku":"9783319197333","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/6a5f7ce2-9ba2-4e75-8e29-bedce089209e.jpg?v=1780030863","url":"https:\/\/shop.autorenwelt.de\/products\/algebra-von-ernest-shult","provider":"Autorenwelt Shop","version":"1.0","type":"link"}