Rings, Hopf Algebras, and Brauer Groups

Rings, Hopf Algebras, and Brauer Groups
Author: Stefaan Caenepeel
Publisher: CRC Press
Total Pages: 352
Release: 2020-09-29
Genre: Mathematics
ISBN: 1000153282

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"Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry. "

Ring Theory And Algebraic Geometry

Ring Theory And Algebraic Geometry
Author: A. Granja
Publisher: CRC Press
Total Pages: 363
Release: 2001-05-08
Genre: Mathematics
ISBN: 0203907965

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Focuses on the interaction between algebra and algebraic geometry, including high-level research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.

Brauer Groups, Hopf Algebras and Galois Theory

Brauer Groups, Hopf Algebras and Galois Theory
Author: Stefaan Caenepeel
Publisher: Springer Science & Business Media
Total Pages: 516
Release: 2002-03-31
Genre: Mathematics
ISBN: 9781402003462

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This 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. The 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. Audience: Researchers whose work involves group theory. The first two parts, in particular, can be recommended for supplementary, graduate course use.

Ring Theory And Algebraic Geometry

Ring Theory And Algebraic Geometry
Author: A. Granja
Publisher: CRC Press
Total Pages: 366
Release: 2001-05-08
Genre: Mathematics
ISBN: 9780203907962

Download Ring Theory And Algebraic Geometry Book in PDF, Epub and Kindle

Focuses on the interaction between algebra and algebraic geometry, including high-level research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.

Perspectives in Ring Theory

Perspectives in Ring Theory
Author: Freddy Van Oystaeyen
Publisher: Springer Science & Business Media
Total Pages: 386
Release: 2012-12-06
Genre: Mathematics
ISBN: 9400929854

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This proceedings is composed of the papers resulting from the NATO work-shop "Perspectives in Ring Theory" and the work-shop "Geometry and Invariant The ory of Representations of Quivers" . Three reports on problem sessions have been induced in the part corresponding to the work-shop where they belonged. One more report on a problem session, the "lost" problem session, will be published elsewhere eventually. vii Acknowledgement The meeting became possible by the financial support of the Scientific Affairs Division of NATO. The people at this division have been very helpful in the orga nization of the meeting, in particular we commemorate Dr. Mario di Lullo, who died unexpectedly last year, but who has been very helpful with the organization of earlier meetings in Ring Theory. For additional financial support we thank the national foundation for scientific research (NFWO), the rector of the University of Antwerp, UIA, and the Belgian Ministry of Education. We also gladly acknowledge support from the Belgian Friends of the Hebrew University and the chairman Prof. P. Van Remoortere who honored Prof. S. Amitsur for his continuous contributions to the mathematical activities at the University of Antwerp. I thank the authors who contributed their paper(s) to this proceedings and the lecturers for their undisposable contributions towards the success of the work-shop. Finally I thank Danielle for allowing me to spoil another holiday period in favor of a congress.