02742nam 2200709z- 450 991055729450332120210501(CKB)5400000000041094(oapen)https://directory.doabooks.org/handle/20.500.12854/69199(oapen)doab69199(EXLCZ)99540000000004109420202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierRelativistic Quantum InformationBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (140 p.)3-03943-260-5 3-03943-261-3 Relativistic quantum information is one of the most exciting fields of physics today. Not only does it open possibilities for new forms of computing but it also calls into question the peaceful coexistence between classical space-time and quantum physics with scenarios that reopen the relationships between locality and nonlocality in the foundational structure of physics. Curated by two international experts Ignazio Licata and Fabrizio Tamburini, this volume hosts a selection of particularly significant essays for the new territories, and is dedicated to the 60th anniversary of Prof. Ignazio Licata.Research and information: generalbicsscanalogue gravitybit commitmentbohr-likr black holesBose-Einstein condensationclassical communicationcolliding black holescosmological particle creationentanglementER = EPRgravitational forceholographic principleinformation lossn/ano-cloningno-signallingoptical amplifierPlanck scalesplug-and-play configurationquantum cryptographyquantum electrodynamicsquantum hairquantum key distributionrelativistic quantum informationsimultaneousspacetime entanglement entropysummoningthermodynamicsUnruh effectwormholesResearch and information: generalTamburini Fabrizioedt1283262Licata IgnazioedtTamburini FabrizioothLicata IgnazioothBOOK9910557294503321Relativistic Quantum Information3019080UNINA04337nam 22006735 450 991030024740332120251116144905.03-319-19422-410.1007/978-3-319-19422-6(CKB)3710000000532680(EBL)4189307(SSID)ssj0001597139(PQKBManifestationID)16298305(PQKBTitleCode)TC0001597139(PQKBWorkID)14886704(PQKB)10198814(DE-He213)978-3-319-19422-6(MiAaPQ)EBC4189307(PPN)190851511(EXLCZ)99371000000053268020151212d2015 u| 0engur|n|---|||||txtccrAbelian Groups /by László Fuchs1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (762 p.)Springer Monographs in Mathematics,1439-7382Description based upon print version of record.3-319-19421-6 Includes bibliographical references and indexes.Fundamentals -- Direct Sums -- Direct Sums of Cyclic Groups -- Divisibility and Injectivity -- Purity and Basic Subgroups -- Algebraically Compact Groups -- Homomorphism Groups -- Tensor and Torsion Products -- Groups of Extensions and Cotorsion Groups -- Torsion Groups -- p-Groups with Elements of Infinite Height -- Torsion-free Groups -- Torsion-free Groups of Infinite Rank -- Butler Groups -- Mixed Groups -- Endomorphism Rings -- Automorphism groups -- Groups in Rings and in Fields.Written by one of the subject’s foremost experts, this book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the non-specialist. It provides a coherent source for results scattered throughout the research literature with lots of new proofs. The presentation highlights major trends that have radically changed the modern character of the subject, in particular, the use of homological methods in the structure theory of various classes of abelian groups, and the use of advanced set-theoretical methods in the study of undecidability problems. The treatment of the latter trend includes Shelah’s seminal work on the undecidability in ZFC of Whitehead’s Problem; while the treatment of the former trend includes an extensive (but non-exhaustive) study of p-groups, torsion-free groups, mixed groups, and important classes of groups arising from ring theory. To prepare the reader to tackle these topics, the book reviews the fundamentals of abelian group theory and provides some background material from category theory, set theory, topology, and homological algebra. An abundance of exercises are included to test the reader’s comprehension, and to explore noteworthy extensions and related sidelines of the main topics. A list of open problems and questions, in each chapter, invite the reader to take an active part in the subject’s further development.Springer Monographs in Mathematics,1439-7382Group theoryCommutative algebraCommutative ringsCategories (Mathematics)Algebra, HomologicalGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Commutative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11043Category Theory, Homological Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11035Group theory.Commutative algebra.Commutative rings.Categories (Mathematics)Algebra, Homological.Group Theory and Generalizations.Commutative Rings and Algebras.Category Theory, Homological Algebra.510Fuchs Lászlóauthttp://id.loc.gov/vocabulary/relators/aut41888BOOK9910300247403321Abelian groups117768UNINA