{"product_id":"manis-valuations-and-prufer-extensions-i-a-new-chapter-in-commutative-algebra-9783540439516","title":"Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra","description":"\u003cp\u003e • Author(s): Manfred Knebusch\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Group Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe present book is devoted to a study of relative PrÃ¼fer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of a non-noetherian nature. The present volume presents one such chapter.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45282186133655,"sku":"9783540439516","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540439516.webp?v=1769301403","url":"https:\/\/atlanticbooks.com\/products\/manis-valuations-and-prufer-extensions-i-a-new-chapter-in-commutative-algebra-9783540439516","provider":"Atlantic Books","version":"1.0","type":"link"}