Rings, Hopf Algebras, and Brauer Groups (eBook, ePUB)

Redaktion: Caenepeel, Stefaan; Verschoren, A.

• Format: ePub

Produktbeschreibung

Based on papers presented at an international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium, this title presents both survey and research articles featuring various results from the intersection of algebra and geometry.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 352
• Erscheinungstermin: 29. September 2020
• Englisch
• ISBN-13: 9781000153286
• Artikelnr.: 60198994

Autorenporträt

STEFAAN CAENEPEEL is a Professor in the Faculty of Applied Sciences at the Free University of Brussels (VUB), Belgium, and a Professor of Mathematics at Vesalius College, Brussels, Belgium. The coauthor of Brauer Groups and the Cohomology of Graded Rings (Marcel Dekker, Inc.) and the author or coauthor of over 40 professional papers that reflect his research interests in Brauer groups of graded rings, relative Brauer groups, and related subjects, he is Treasurer of the Belgian Mathematical Society and a member of the American Mathematical Society and the European Mathematical Society, among other organizations. Dr. Caenepeel received the Ph.D. degree (1984) and the habilitation (1991) in mathe¬matics from the Free University of Brussels (VUB), Belgium. ALAIN VERSCHOREN is a Professor in the Department of Mathematics and Computer Science at the University of Antwerp, Belgium. He is the author, coau¬thor, or coeditor of more than 20 books, including Compatibility, Stability, and Sheaves; Relative Invariants of Rings: The Commutative Theory; Relative Invariants of Rings: The Noncommutative Theory; and Relative Invariants of Sheaves (all titles, Marcel Dekker, Inc.) and the author or coauthor of over 120 pro¬fessional papers. Dr. Verschoren is a Laureate of the Belgian Academy of Sciences and a member of the Belgian Mathematical Society, the American Mathematical Society, and the European Mathematical Society. He received the Ph.D. degree (1979) in algebraic geometry and the habilitation (1982) in mathematics from the University of Antwerp, Belgium.

Inhaltsangabe

Sur les invariants des algebres de Weyl et de leurs corps de fractions
a Picard-Brauer five term exact sequence for braided categories
topological methods in algebra
an introduction to effective calculus in quantum groups
Kummer theory for monogenic Larson orders
smash (co)products from adjunctions
module-theoretical properties of good curve singularities
Morita-Takeuchi equivalance, cohomology of coalgebras and Azumaya coalgebras
decomposition of locally finite modules
existence of covers over fixed rings
on the application of the factorization ideals associated to a finite free resolution
division theorem over the Dwork-Monsky-Washnitzer completion of polynomial rings and Weyl algebras
maximal subfields in the quotient division ring of an enveloping algebra
a Maschke-type theorem for quasi-Hopf algebras
when are all the finitely generated modules embeddable in free modules?
skew-primitive elements of quantum groups and braided Lie algebras
involutive invariants of a Krull domain and Amitsur cohomology
the spectrum of Abelian categories and reconstruction of schemes
face algebras are xR-bialgebras
intersection dimension and canonical modules
Brauer groups of actions
an alternative approach to involutive Brauer groups
a new dimension for schematic algebras.