{"product_id":"9781402003462","title":"K-Monographs in Mathematics","description":"\u003ch1\u003eK-Monographs in Mathematics\u003c\/h1\u003e \u003ch2\u003eCaenepeel, Stefaan\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis volume is devoted to the Brauer group of a commutative ring and related invariants. Part I presents a new self-contained exposition of the Brauer group of a commutative ring. Included is a systematic development of the theory of Grothendieck topologies and étale cohomology, and discussion of topics such as Gabber's theorem and the theory of Taylor's big Brauer group of algebras without a unit. Part II presents a systematic development of the Galois theory of Hopf algebras with special emphasis on the group of Galois objects of a cocommutative Hopf algebra. The development of the theory is carried out in such a way that the connection to the theory of the Brauer group in Part I is made clear. Recent developments are considered and examples are included. \u003c\/p\u003e\n\u003cp\u003eThe Brauer-Long group of a Hopf algebra over a commutative ring is discussed in Part III. This provides a link between the first two parts of the volume and is the first time this topic has been discussed in a monograph. \u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAudience:\u003c\/em\u003e Researchers whose work involves group theory. The first two parts, in particular, can be recommended for supplementary, graduate course use. \u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2002-03-31\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781402003462\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-015-9038-9\u003c\/p\u003e \u003cp\u003eDimensions: cm xcm\u003c\/p\u003e \u003cp\u003ePages: 488\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46541589807244,"sku":"9781402003462","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781402003462.jpg?v=1775741495","url":"https:\/\/lateknightbooks.com\/products\/9781402003462","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}