LEADER 02781oam 2200505 450 001 996418188403316 005 20210602224143.0 010 $a3-030-53378-6 024 7 $a10.1007/978-3-030-53378-6 035 $a(CKB)4100000011645311 035 $a(DE-He213)978-3-030-53378-6 035 $a(MiAaPQ)EBC6424410 035 $a(PPN)252515382 035 $a(EXLCZ)994100000011645311 100 $a20210602d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSkew pbw extensions $ering and module-theoretic properties, matrix and gröbner methods, and applications /$fWilliam Fajardo, 5 others 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$d©2020 215 $a1 online resource (XV, 584 p.) 225 1 $aAlgebra and Applications,$x1572-5553 ;$v28 311 $a3-030-53377-8 327 $aPreface -- 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. 330 $aThis monograph is devoted to a new class of non-commutative rings, skew Poincaré?Birkhoff?Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW extensions from a matrix point of view. To make this theory constructive, the theory of Gröbner bases of left (right) ideals and modules for bijective skew PBW extensions is developed. For example, syzygies and the Ext and Tor modules over these rings are computed. Finally, applications to some key topics in the noncommutative algebraic geometry of quantum algebras are given, including an investigation of semi-graded Koszul algebras and semi-graded Artin?Schelter regular algebras, and the noncommutative Zariski cancellation problem. The book is addressed to researchers in noncommutative algebra and algebraic geometry as well as to graduate students and advanced undergraduate students. 410 0$aAlgebra and Applications,$x1572-5553 ;$v28 606 $aRing extensions (Algebra) 606 $aNoncommutative rings 606 $aCategories (Mathematics) 615 0$aRing extensions (Algebra) 615 0$aNoncommutative rings. 615 0$aCategories (Mathematics) 676 $a700 700 $aFajardo$b William$0981433 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bUtOrBLW 906 $aBOOK 912 $a996418188403316 996 $aSkew pbw extensions$92240089 997 $aUNISA LEADER 03358nam 2200685 a 450 001 9910974896103321 005 20240416220315.0 010 $a9780262313544 010 $a0262313545 010 $a9780262313537 010 $a0262313537 035 $a(CKB)2670000000352940 035 $a(EBL)3339618 035 $a(SSID)ssj0000871596 035 $a(PQKBManifestationID)12355808 035 $a(PQKBTitleCode)TC0000871596 035 $a(PQKBWorkID)10823055 035 $a(PQKB)11581187 035 $a(Au-PeEL)EBL3339618 035 $a(CaPaEBR)ebr10692207 035 $a(CaONFJC)MIL485157 035 $a(OCoLC)842266341 035 $a(PPN)22018903X 035 $a(FR-PaCSA)88841768 035 $a(MiAaPQ)EBC3339618 035 $a(FRCYB88841768)88841768 035 $a(EXLCZ)992670000000352940 100 $a20120830d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 04$aThe hand, an organ of the mind $ewhat the manual tells the mental /$fedited by Zdravko Radman 205 $a1st ed. 210 $aCambridge, Mass. $cMIT Press$d2013 215 $a1 online resource (465 p.) 300 $aDescription based upon print version of record. 311 08$a9780262018845 311 08$a0262018845 320 $aIncludes bibliographical references and index. 327 $aContents; Foreword: Hand Manifesto; Beforehand; Acknowledgments; Contributors; I HAND-CENTEREDNESS; 1 "Capable of whatever man's ingenuity suggests": Agency, Deafferentation, and the Control of Movement; 2 Developmental Origins of the Hand in the Mind, and the Role of the Hand in the Development of the Mind; 3 Hand-Centered Space, Hand-Centered Attention, and the Control of Movement; 4 Beyond the Boundaries of the Hand: Plasticity of Body-Space Interactions Following Tool Use; II TOGETHERNESS IN TOUCH; 5 Touching Hands: A Neurocognitive Review of Intersubjective Touch 327 $a6 Touch and the Sense of Reality7 Perception and Representation: Mind the Hand!; 8 Phenomenology of the Hand; III MANUAL ENACTION; 9 The Enactive Hand; 10 Radically Enactive Cognition in Our Grasp; IV THE GIST OF GESTURES; 11 Gesture as Thought?; 12 Is Cognition Embedded or Extended? The Case of Gestures; 13 Pointing Hand: Joint Attention and Embodied Symbols; V MANIPULATION AND THE MUNDANE; 14 Privileging Exploratory Hands: Prehension, Apprehension, Comprehension; 15 The Enculturated Hand; 16 On Displacement of Agency: The Mind Handmade; VI TOMORROW'S HANDS 327 $a17 A Critical Review of Classical Computational Approaches to Cognitive Robotics: Case Study for Theories of Cognition?Postscript: Rehabilitating the Hand: Reflections of a Haptic Artist; Index 330 $aTheoretical and empirical accounts of the interconnectedness between the manual and the mental suggest that the hand can be understood as a cognitive instrument. 606 $aHuman engineering 606 $aGesture 606 $aHandicraft 615 0$aHuman engineering. 615 0$aGesture. 615 0$aHandicraft. 676 $a121/.35 701 $aRadman$b Zdravko$f1951-$0223611 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910974896103321 996 $aThe hand, an organ of the mind$94341273 997 $aUNINA