01230nam0 22002651i 450 SUN005940420070523120000.0IT2000 499820070523e19991476 |0itac50 baitaIT|||| |||||Abbatia Sanctae Mariae de Ferrara in agro Vairanonotarii Francisci Antonii de Pernutiis platea 1622-23fondo Gesuitico, manoscritto 1048 alla Biblioteca nazionale centrale di Romapresentazione del prof. Enrico Cuozzoa cura di Domenico LoffredaNapoliLoffredo[1999]XIII, 415 p.ill.24 cm.NapoliSUNL000005333.322094572521Loffreda, DomenicoSUNV047005LoffredoSUNV000521650ITSOL20181109RICASUN0059404UFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI LETTERE E BENI CULTURALI07 CONS Bb Vairano Patenora 07 17667 1295 UFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI LETTERE E BENI CULTURALIIT-CE010317667CONS Bb Vairano Patenora 1295caAbbatia Sanctae Mariae de Ferrara in agro Vairano1090303UNICAMPANIA03147nam 22005895 450 991048465870332120251113201105.03-030-53378-610.1007/978-3-030-53378-6(CKB)4100000011645311(DE-He213)978-3-030-53378-6(MiAaPQ)EBC6424410(PPN)252515382(EXLCZ)99410000001164531120201211d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSkew PBW Extensions Ring and Module-theoretic Properties, Matrix and Gröbner Methods, and Applications /by William Fajardo, Claudia Gallego, Oswaldo Lezama, Armando Reyes, Héctor Suárez, Helbert Venegas1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XV, 584 p.) Algebra and Applications,2192-2950 ;283-030-53377-8 Preface -- I Ring and Module-Theoretic Properties of Skew PBW Extensions -- II Projective Modules Over Skew PBW Extensions -- III Matrix and Gröbner Methods for Skew PBW Extensions -- IV Applications: The Noncommutative AlgebraicGeometry of Skew PBW Extensions -- References.This monograph is devoted to a new class of non-commutative rings, skew Poincaré–Birkhoff–Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW extensions from a matrix point of view. To make this theory constructive, the theory of Gröbner bases of left (right) ideals and modules for bijective skew PBW extensions is developed. For example, syzygies and the Ext and Tor modules over these rings are computed. Finally, applications to some key topics in the noncommutative algebraic geometry of quantum algebras are given, including an investigation of semi-graded Koszul algebras and semi-graded Artin–Schelter regular algebras, and the noncommutative Zariski cancellation problem. The book is addressed to researchers in noncommutative algebra and algebraic geometry as well as to graduate students and advanced undergraduate students.Algebra and Applications,2192-2950 ;28Associative ringsAssociative algebrasAlgebra, HomologicalAlgorithmsAssociative Rings and AlgebrasCategory Theory, Homological AlgebraAlgorithmsAssociative rings.Associative algebras.Algebra, Homological.Algorithms.Associative Rings and Algebras.Category Theory, Homological Algebra.Algorithms.700Fajardo William981433MiAaPQMiAaPQMiAaPQBOOK9910484658703321Skew pbw extensions2240089UNINA