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Groups, Rings and Group Rings de Antonio Giambruno

Groups, Rings and Group Rings: Lecture Notes in Pure and Applied Mathematics

Editat de Antonio Giambruno
en Limba Engleză Hardback – 3 ian 2018
This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes from group theory and ring theory, exploring their relationship with other branches of algebra including actions of Hopf algebras, groups of units of group rings, combinatorics of Young diagrams, polynomial identities, growth of algebras, and more. Featuring international contributions, this book is ideal for mathematicians specializing in these areas.
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Specificații

ISBN-13: 9781138402034
ISBN-10: 1138402036
Pagini: 368
Dimensiuni: 178 x 254 mm
Greutate: 0.84 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Lecture Notes in Pure and Applied Mathematics

Public țintă

Professional

Notă biografică

Antonio Giambruno, Cesar Polcino Milies, Sudarshan K. Sehgal

Cuprins

1. On fine gradings on central simple algebras 2. On observable module categories 3. Group gradings on integral group rings 4. Profinite graphs – comparing notions 5. Lie identities in symmetric elements in group rings: A survey 6. Irreducible morphisms in subcategories 7. Bol loops with a unique nonidentity commutator/associator 8. Weil representations of symplectic groups 9. Gradings and graded identities for the upper triangular matrices over an infinite field 10. Structure of some classes of repeated-root constacyclic codes over integers modulo 2m 11. Units in noncommutative orders 12. Idempotents in group algebras and coding theory 13. Finitely generated constants of free algebras 14. Partial actions of groups on semiprime rings 15. Representations of affine Lie superalgebras 16. On algebras and superalgebras with linear codimension growth 17. On spectra of group rings of finite abelian groups 18. Wedderburn decomposition of small rational group algebras 19. Some questions on skewfields 20. On the role of rings and modules in algebraic coding theory 21. Semiperfect rings with T-nilpotent prime radical 22. The structure of the baric algebras 23. On torsion units of integral group rings of groups of small order 24. On a conjecture of Zassenhaus for metacyclic groups 25. Nilpotent blocks revisited 26. Decomposition of central units of integral group rings 27. Generic units in ZC 28. On quasi-Frobenius semigroup algebras 29. Twisted loop algebras and Galois cohomology 30. Presentation of the group of units of ZD 31. Engel theorem for Jordan rational group algebras.

Descriere

A collection of research papers and surveys on algebra that are presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. It familiarizes researchers with the topics, techniques, and methodologies in several branches of contemporary algebra. It examines broad themes from group theory and ring theory.