Extended Rings
As we observed in the previous three chapters, the study of finitely generated projective modules induces the notions of PSF, PF, Hermite (H), d-Hermite rings, and many other classes of interesting rings. In this chapter we will study another class of mod
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William Fajardo · Claudia Gallego Oswaldo Lezama · Armando Reyes Héctor Suárez · Helbert Venegas
Skew PBW Extensions
Ring and Module-theoretic Properties, Matrix and Gröbner Methods, and Applications
Algebra and Applications Volume 28
Series Editors Michel Broué, Université Paris Diderot, Paris, France Alice Fialowski, Eötvös Loránd University, Budapest, Hungary Eric Friedlander, University of Southern California, Los Angeles, CA, USA Iain Gordon, University of Edinburgh, Edinburgh, UK John Greenlees, Sheffield University, Sheffield, UK Gerhard Hiß, Aachen University, Aachen, Germany Ieke Moerdijk, Utrecht University, Nijmegen, Utrecht, The Netherlands Christoph Schweigert, Hamburg University, Hamburg, Germany Mina Teicher, Bar-Ilan University, Ramat-Gan, Israel Alain Verschoren, University of Antwerp, Antwerp, Belgium
Algebra and Applications aims to publish well-written and carefully refereed monographs with up-to-date expositions of research in all fields of algebra, including its classical impact on commutative and noncommutative algebraic and differential geometry, K-theory and algebraic topology, and further applications in related domains, such as number theory, homotopy and (co)homology theory through to discrete mathematics and mathematical physics. Particular emphasis will be put on state-of-the-art topics such as rings of differential operators, Lie algebras and super-algebras, group rings and algebras, Kac-Moody theory, arithmetic algebraic geometry, Hopf algebras and quantum groups, as well as their applications within mathematics and beyond. Books dedicated to computational aspects of these topics will also be welcome. More information about this series at http://www.springer.com/series/6253
William Fajardo • Claudia Gallego Oswaldo Lezama • Armando Reyes Héctor Suárez • Helbert Venegas
Skew PBW Extensions Ring and Module-theoretic Properties, Matrix and Gröbner Methods, and Applications
William Fajardo Instituto Politécnico Grancolombiano Bogotá, Colombia
Claudia Gallego Universidad Sergio Arboleda Bogotá, Colombia
Oswaldo Lezama National University of Colombia Bogota, Colombia
Armando Reyes National University of Colombia Bogota, Colombia
Héctor Suárez Universidad Pedagógica y Tecnológica de Colombia Tunja, Colombia
Helbert Venegas Universidad de la Sabana Chía, Colombia
ISSN 1572-5553 ISSN 2192-2950 (electronic) Algebra and Applications ISBN 978-3-030-53377-9 ISBN 978-3-030-53378-6 (eBook) https://doi.org/10.1007/978-3-030-53378-6 Mathematics Subject Classification (2020): 16S36, 16U20, 16D40, 16E05, 16E65, 16S38, 16S80, 16W70, 16Z05 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimila
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