LEADER 03973nam 22007095 450 001 996466476303316 005 20200704044120.0 010 $a3-642-31152-0 024 7 $a10.1007/978-3-642-31152-9 035 $a(CKB)3400000000085875 035 $a(SSID)ssj0000746090 035 $a(PQKBManifestationID)11930881 035 $a(PQKBTitleCode)TC0000746090 035 $a(PQKBWorkID)10860443 035 $a(PQKB)10605900 035 $a(DE-He213)978-3-642-31152-9 035 $a(MiAaPQ)EBC3070544 035 $a(PPN)16532936X 035 $a(EXLCZ)993400000000085875 100 $a20120821d2012 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aPrime Divisors and Noncommutative Valuation Theory$b[electronic resource] /$fby Hidetoshi Marubayashi, Fred Van Oystaeyen 205 $a1st ed. 2012. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2012. 215 $a1 online resource (IX, 218 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2059 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-31151-2 320 $aIncludes bibliographical references and index. 327 $a1. General Theory of Primes -- 2. Maximal Orders and Primes -- 3. Extensions of Valuations to some Quantized Algebras. 330 $aClassical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves.  But the noncommutative equivalent is mainly applied to finite dimensional skewfields.  Recently however, new types of algebras have become popular in modern algebra; Weyl algebras, deformed and quantized algebras, quantum groups and Hopf algebras, etc. The advantage of valuation theory in the commutative case is that it allows effective calculations, bringing the arithmetical properties of the ground field into the picture.  This arithmetical nature is also present in the theory of maximal orders in central simple algebras.  Firstly, we aim at uniting maximal orders, valuation rings, Dubrovin valuations, etc. in a common theory, the theory of primes of algebras.  Secondly, we establish possible applications of the noncommutative arithmetics to interesting classes of algebras, including the extension of central valuations to nice classes of quantized algebras, the development of a theory of Hopf valuations on Hopf algebras and quantum groups, noncommutative valuations on the Weyl field and interesting rings of invariants and valuations of Gauss extensions. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2059 606 $aAlgebra 606 $aGeometry 606 $aAlgebraic geometry 606 $aAssociative rings 606 $aRings (Algebra) 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027 615 0$aAlgebra. 615 0$aGeometry. 615 0$aAlgebraic geometry. 615 0$aAssociative rings. 615 0$aRings (Algebra). 615 14$aAlgebra. 615 24$aGeometry. 615 24$aAlgebraic Geometry. 615 24$aAssociative Rings and Algebras. 676 $a512/.46 686 $a16W40$a16W70$a16S38$a16H10$a13J20$a16T05$2msc 700 $aMarubayashi$b Hidetoshi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0477685 702 $aVan Oystaeyen$b Fred$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996466476303316 996 $aPrime Divisors and Noncommutative Valuation Theory$92831069 997 $aUNISA LEADER 01187oam 2200349z- 450 001 9910793328103321 005 20221110172546.0 010 $a1-315-15250-9 010 $a1-351-64854-3 035 $a(CKB)4100000007506915 035 $a(MiAaPQ)EBC5630530 035 $a(EXLCZ)994100000007506915 100 $a20190630c2018uuuu -u- - 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHandbook of environmental and ecological statistics /$fAlan Gelfand, PhD, Montse Fuentes, PhD, Jennifer A. Hoesting, PhD, Richard L. Smith, PhD 210 1$aBoca Raton :$cChapman and Hall/CRC,$d[2019] 215 $a1 online resource (882 pages) 311 $a1-4987-5202-0 606 $aEnvironmental sciences$xStatistical methods 606 $aEcology$xStatistical methods 615 0$aEnvironmental sciences$xStatistical methods 615 0$aEcology$xStatistical methods 676 $a557.072/7 700 $aGelfand$b Alan E.$f1945-$0460540 906 $aBOOK 912 $a9910793328103321 996 $aHandbook of environmental and ecological statistics$93680537 997 $aUNINA LEADER 07942nam 22005293 450 001 9911008425203321 005 20250618144133.0 010 $a9781803277646 010 $a1803277645 035 $a(MiAaPQ)EBC31344136 035 $a(Au-PeEL)EBL31344136 035 $a(CKB)32063113000041 035 $a(Exl-AI)31344136 035 $a(Perlego)4424032 035 $a(OCoLC)1435750290 035 $a(EXLCZ)9932063113000041 100 $a20240519d2024 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCave Art $eA Guide to the Decorated Ice Age Caves of Europe 205 $a1st ed. 210 1$aOxford :$cArchaeopress,$d2024. 210 4$d©2024. 215 $a1 online resource (205 pages) 311 08$a9781803277639 311 08$a1803277637 327 $aCover -- Inside cover -- Title Page -- Copyright Page -- Contents Page -- Introduction -- Cave Art -- Periods -- Symbols used in this guide -- Map 1 -- Map 2 -- The Sites -- UNITED KINGDOM -- CHURCH HOLE AND ROBIN HOOD'S CAVE -- FRANCE -- LA GRANDE GROTTE D'ARCY-SUR-CURE -- LA GROTTE MARGOT / MAYENNE-SCIENCES -- LA CHAIRE à CALVIN -- ANGLES-SUR-L'ANGLIN (LE ROC-AUX-SORCIERS) -- LE PLACARD -- LE ROC DE SERS (FACSIMILE) -- FONT DE GAUME -- LES COMBARELLES -- CAP BLANC -- ABRI PATAUD and CAVE PATAUD (ABRI MOVIUS) -- ROUFFIGNAC -- BERNIFAL -- ABRI DU POISSON (AND LAUGERIE HAUTE) -- SAINT-CIRQ -- BARA-BAHAU -- VILLARS -- ABRI REVERDIT (CASTEL-MERLE) -- LASCAUX II -- LASCAUX IV (Centre International de l'Art Pariétal) -- MUSÉE NATIONAL DE PRÉHISTOIRE (LES EYZIES) -- COUGNAC -- GROTTE DES MERVEILLES -- PECH-MERLE -- PAIR-NON-PAIR -- MUSÉE D'AQUITAINE -- ISTURITZ AND OXOCELHAYA -- GARGAS -- BÉDEILHAC -- NIAUX -- PARC DE LA PRÉHISTOIRE (PREHISTORIC PARK) -- CHAUVET 2 -- COSQUER MÉDITERRANÉE -- MUSÉE D'ARCHÉOLOGIE NATIONALE -- SPAIN -- EKAINBERRI -- SANTIMAMIÑE -- COVALANAS -- ALTAMIRA II -- CHUFÍN -- EL CASTILLO -- LAS MONEDAS -- HORNOS DE LA PEÑA -- EL PENDO -- SALITRE II (SOPEÑA) -- EL PINDAL -- EL BUXU -- TITO BUSTILLO -- LA LOJA -- LA PEÑA DE CANDAMO -- (AND INTERPRETATION CENTRE) -- PARQUE DE LA PREHISTORIA DE TEVERGA -- LOS CASARES -- LA PILETA -- ARDALES (CUEVA DE DOÑA TRINIDAD) -- SIEGA VERDE -- DOMINGO GARCÍA (CERRO DE SAN ISIDRO) -- MUSEO ARQUEOLÓGICO NACIONAL -- PORTUGAL -- ESCOURAL (AND INTERPRETATION CENTRE) -- CÔA VALLEY -- ITALY -- LEVANZO (GROTTA DEL GENOVESE) -- GROTTA DEI PUNTALI -- CARINI (PA) -- GROTTA DEL CAVIGLIONE E BALZI ROSSI -- RIPARO DI ROMITO -- Acknowledgements -- Captions and Credits -- The Isturitz panel in its context. -- Hand stencils in Cosquer Méditerranée. 327 $aSculpted ibex on a block from Roc de Sers, in the Musée d'Archéologie Nationale. -- The leaping horse from Font de Gaume. -- Engraved horse and ibex at Penascosa, Côa Valley. -- Bison on the ceiling of the Altamira facsimile. -- Museo Nacional y Centro de Investigación de Altamira, Ministerio de Cultura de España. -- Aurochs cow and horse in the Axial Gallery of Lascaux. -- Bison engraving in Church Hole. -- 'Ibis' in engraving and bas-relief on the ceiling of Church Hole. -- Mammoth in the Grande Grotte d'Arcy. -- Opposite: The 'blue rhinoceros' in the Grotte Margot (tracing after Dufayet). -- The frieze at La Chaire à Calvin. -- Cast of ibex figures in the sculpted frieze of the Roc-aux-Sorciers. -- Tracing of some of the engravings at Le Placard (after Feruglio). -- Replicas of the blocks comprising the frieze at Le Roc de Sers. -- Deer and bison figures in Font de Gaume. -- The two reindeer in Font de Gaume. -- The feline engraving of Les Combarelles. -- Head of the central horse at Cap Blanc. -- The sculpted ibex on the ceiling of the Cave Pataud. -- Mammoth and ibex on the Rouffignac ceiling. -- Bison eye/horn, mammoth and human face drawn on hanging rock in Bernifal. -- The bas-relief fish on the ceiling of the Abri du Poisson. -- St Cirq 'sorcerer'. -- The bear engraving of Bara-Bahau. -- The 'blue horse' of Villars. -- Sculpted bison in the Abri Reverdit. -- Photomontages of the 'unicorn' and the ibex/aurochs panel s in Lascaux II. -- The entrance of Lascaux IV. -- Falling horse (left) and bull (right), Lascaux IV. -- Aurochs figures on a block from Le Fourneau du Diable, in the Musée National de Préhistoire. -- Central ibex in the Cougnac panel, framed by red-coated stalagmites. -- Deer and horse from the Grotte des Merveilles. -- Grotte des Merveilles (reproduced by permission). -- Hand stencil and dots in Pech-Merle. 327 $aSpotted horses in Pech-Merle. -- Black frieze in Pech-Merle. -- The 'Agnus Dei' panel of Pair-non-Pair. -- The decorated panel of Isturitz. -- The Isturitz panel in its context. -- Hand in niche in Gargas. -- Panel of hands in Gargas. -- Some of the hand stencils of Gargas. -- The clay bas-relief of a bison and vulva in Bédeilhac's Galerie des Modelages. -- Horses and stag in Niaux's Salon Noir. -- The main building in the Parc de la Préhistoire. -- The entrance of Chauvet 2. -- Bison in Cosquer Méditerranée. -- The auk figures in Cosquer Méditerranée. -- The main panel in the cave of Ekain. -- The bears in Ekain. -- The central panel in the cave of Santimamiñe. -- Group of female deer in Covalanas. -- Bison group on the ceiling in the Altamira facsimile. -- Detail of an engraved and painted bison head, Altamira. -- Bison on the Altamira ceiling. -- Decorated bosses in the Altamira ceiling. -- Photomontage of the whole Altamira ceiling. -- Rows of red dots in Chufín. -- Vertical bison, semi-natural and semi-drawn, on stalagmite in El Castillo. -- Discs in El Castillo. -- Hand stencils in El Castillo. -- Vertical horse and reindeer figures, Las Monedas . -- Tracing of a horse and other figures in Hornos de la Peña. -- The main decorated panel of El Pendo. -- Tracing of a hind in Salitre. -- The large red hind in El Pindal. -- Engraved horse in El Buxu. -- Detail of the main panel in Tito Bustillo. -- Part of the main panel in Tito Bustillo. -- Photo of the engraved panel in La Loja. -- Consejería de Cultura del Principado de Asturias. (Tracing After Breuil). -- Horse and other motifs painted high up in Candamo's Camarin. -- Facsimile of the main panel in Covaciella Cave, in the Galeria of Teverga Park. -- The entrance building in the Park of Teverga. -- Tracing of the 'diving' panel in Los Casares. -- Horse and fingermarks in La Pileta's Sanctuary. 327 $aDetail of an engraved hind in Ardales. -- Hand stencil in Ardales. -- Pecked horse at Siega Verde. -- Head of the large pecked horse of Domingo García. -- Tracing of an engraved shoulder-blade from El Castillo in the Museo Arqueológico Nacional . -- Tracing of the engraved horse heads of Escoural. -- The overlapping horse-heads of Ribeira de Piscos, Côa Valley. -- An engraved panel at Penascosa, Côa Valley. -- Tracing of an engraved deer in Levanzo. -- The engraved horses of Puntali, photograph and sketch. -- Photo and tracing of the engraved horse in the Grotta del Caviglione. -- The two engraved aurochs of Romito. -- Index -- Inside back cover -- Back cover. 330 $aFor speleologists and holidaymakers alike, here is an essential handbook. 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