Non-Associative and Non-Commutative Algebra and Operator Theory

NANCAOT, Dakar, Senegal, May 23–25, 2014: Workshop in Honor of Professor Amin Kaidi

Cheikh Thiécoumbe Gueye, Mercedes Siles Molina (Herausgeber)

Buch | Softcover

X, 254 Seiten

2018 | 1. Softcover reprint of the original 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-81394-3 (ISBN)

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Presenting the collaborations of over thirtyinternational experts in the latest developments in pure andapplied mathematics, this volume serves as an anthology of research with acommon basis in algebra, functional analysis and their applications.Special attention is devoted to non-commutative algebras, non-associativealgebras, operator theory and ring and module theory. These themes arerelevant in research and development in coding theory, cryptography and quantummechanics.

The topics in this volume were presented at the Workshop on Non-Associative& Non-Commutative Algebra and Operator Theory, held May23-25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honorof Professor Amin Kaidi. The workshop was hosted by theuniversity's Laboratory of Algebra,Cryptology, Algebraic Geometry and Applications, in cooperation withthe University of Almería and the University of Málaga. Dr.Kaidi'swork focuses on non-associative rings and algebras, operator theory andfunctional analysis, and he has served as a mentor to a generation ofmathematicians in Senegal and around the world.

Part I: Invited Talks.- 1. Group theory and the capitulation problem for some number fields.- 2. On Space-Time Codes Arising from Free modules and Algebras over an Integral Domain.- 3. Graded modules over superconformal algebras.- 4. On Deformations of n-Lie algebras.- 5. Morita equivalence and Morita invariant properties. Applications in the context of Leavitt path algebras.- 6. On commuting U-operators in Jordan algebras.- Part II Contributed Talks.- 7. Gradings on algebras over algebraically closed fields.- 8. On the set of Artinian subrings of infinite products of rings.- 9. Noncommutative Gröbner basis over a Divisible and Annihilable Ring.- 10. Some properties of mono-correct and epi-correct modules.- 11. Strongly split Poisson algebras.- 12. Generalization of the Hopf Commutative Theorem.- 13. On The Polya Group of Some Imaginary Biquadratic Fields.- 14. Localization in A Duo-Ring and Polynomials Algebra.- 15. Connections techniques in graded Morita rings theory.- 16. Basic andfree simplicity of Lorentz type algebras.- 17. On the real forms of the exceptional Lie algebra e6 and their Satake diagrams.- 18. Linear recurring sequences over zero-sum semirings.- 19. Invertible Lax Entwining Structures and C-Cleft Extensions.

Erscheinungsdatum	05.03.2022
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Zusatzinfo	X, 254 p. 237 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	4044 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Duo-ring • graded ring • Morita ring • non-associative algebras • non-commutative algebras • non-commutative Gröbner bases • operator theory and normed algebras • Poisson algebra • ring and module theory • structure theory
ISBN-10	3-319-81394-3 / 3319813943
ISBN-13	978-3-319-81394-3 / 9783319813943
Zustand	Neuware