LEADER 01099nam0M2200373--I450- 001 990002958660203316 005 20101019132648.0 010 $a88-495-1391-7 035 $a000295866 035 $aUSA01000295866 035 $a(ALEPH)000295866USA01 035 $a000295866 100 $a20070716d2006----||itac50 ba 101 $aita 102 $aIT 105 $a||||||||001yy 200 1 $aEsigenze del mercato e garanzie reali$eil pegno ad oggetto variabile$fLaura Carcavallo 210 $aNapoli$cEdizioni scientifiche italiane$d2006 215 $a91 p.$d24 cm 606 0 $aPegno$2BNCF 676 $a346.45074 700 1$aCARCAVALLO,$bLaura$0597675 801 0$aIT$bICCU$gISBD$c20070318 912 $a990002958660203316 951 $aXXV.1.H. 632$b65406 G.$cXXV.1.H.$d00283408 951 $aI E 50$b892 DIL 959 $aBK 969 $aGIU 969 $aDIL 979 $aDIL$b10$c20070716$lUSA01$h0909 979 $aCHIARA$b90$c20101019$lUSA01$h1325 979 $aCHIARA$b90$c20101019$lUSA01$h1326 996 $aEsigenze del mercato e garanzie reali$91027079 997 $aUNISA LEADER 03999nam 22006495 450 001 996466481503316 005 20200706122452.0 010 $a3-540-89056-4 024 7 $a10.1007/978-3-540-89056-0 035 $a(CKB)1000000000718096 035 $a(SSID)ssj0000319034 035 $a(PQKBManifestationID)11264898 035 $a(PQKBTitleCode)TC0000319034 035 $a(PQKBWorkID)10337289 035 $a(PQKB)11240113 035 $a(DE-He213)978-3-540-89056-0 035 $a(MiAaPQ)EBC3064122 035 $a(PPN)134130499 035 $a(EXLCZ)991000000000718096 100 $a20100301d2009 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aModules over Operads and Functors$b[electronic resource] /$fby Benoit Fresse 205 $a1st ed. 2009. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009. 215 $a1 online resource (X, 314 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1967 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-89055-6 320 $aIncludes bibliographical references and index. 327 $aCategorical and operadic background -- Symmetric monoidal categories for operads -- Symmetric objects and functors -- Operads and algebras in symmetric monoidal categories -- Miscellaneous structures associated to algebras over operads -- The category of right modules over operads and functors -- Definitions and basic constructions -- Tensor products -- Universal constructions on right modules over operads -- Adjunction and embedding properties -- Algebras in right modules over operads -- Miscellaneous examples -- Homotopical background -- Symmetric monoidal model categories for operads -- The homotopy of algebras over operads -- The (co)homology of algebras over operads -- The homotopy of modules over operads and functors -- The model category of right modules -- Modules and homotopy invariance of functors -- Extension and restriction functors and model structures -- Miscellaneous applications -- Appendix: technical verifications -- Shifted modules over operads and functors -- Shifted functors and pushout-products -- Applications of pushout-products of shifted functors. 330 $aThe notion of an operad supplies both a conceptual and effective device to handle a variety of algebraic structures in various situations. Operads were introduced 40 years ago in algebraic topology in order to model the structure of iterated loop spaces. Since then, operads have been used fruitfully in many fields of mathematics and physics. This monograph begins with a review of the basis of operad theory. The main purpose is to study structures of modules over operads as a new device to model functors between categories of algebras as effectively as operads model categories of algebras. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1967 606 $aAlgebra 606 $aAlgebraic topology 606 $aCategory theory (Mathematics) 606 $aHomological algebra 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 606 $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019 606 $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035 615 0$aAlgebra. 615 0$aAlgebraic topology. 615 0$aCategory theory (Mathematics). 615 0$aHomological algebra. 615 14$aAlgebra. 615 24$aAlgebraic Topology. 615 24$aCategory Theory, Homological Algebra. 676 $a512.42 686 $a18D50$a55P48$a18G55$a18A25$2msc 700 $aFresse$b Benoit$4aut$4http://id.loc.gov/vocabulary/relators/aut$0472382 906 $aBOOK 912 $a996466481503316 996 $aModules over operads and functors$9230303 997 $aUNISA