LEADER 03946nam 22007215 450 001 9910855386903321 005 20240504124856.0 010 $a9783031530630 010 $a3031530632 024 7 $a10.1007/978-3-031-53063-0 035 $a(MiAaPQ)EBC31319421 035 $a(Au-PeEL)EBL31319421 035 $a(CKB)31918626600041 035 $a(DE-He213)978-3-031-53063-0 035 $a(OCoLC)1433096343 035 $a(EXLCZ)9931918626600041 100 $a20240504d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFunctor Categories, Model Theory, Algebraic Analysis and Constructive Methods $eFCMTCCT2 2022, Almería, Spain, July 11?15, Invited and Selected Contributions /$fedited by Alexander Martsinkovsky 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (256 pages) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1017 ;$v450 311 08$a9783031530623 311 08$a3031530624 327 $aW. Fajardo, O. Lezama, C. Payares, A. Reyes and C. Rodríguez, Introduction to Algebraic Analysis on Ore Extensions -- S. Breaz and G. C. Modoi, Derived equivalences induced by good silting complexes -- M. Cerqua and A. Facchini, Pre-Lie algebras, their multiplicative lattice, and idempotent endomorphisms -- G. Nadareishvili, Relative homological algebra for bivariant K-theory -- S. Posur, An abelian ambient category for behaviors in algebraic systems theory -- M. Prest, Definable categories and monoidal categories -- J. Trlifaj, Flat Mittag-Leffler Modules, and their Relative and restricted versions. 330 $aThis volume comprises selected contributions by the participants of the second "Functor Categories, Model Theory, Algebraic Analysis and Constructive Methods" conference, which took place at the University of Almería, Spain, in July 2022. The conference was devoted to several seemingly unrelated fields: functor categories, model theory of modules, algebraic analysis (including linear control systems), and constructive category theory, to mention just a few. The fact that these fields are actually related is a very recent realization. The connections between these disciplines are changing in real time, and the goal of this volume is to provide an initial reference point for this emerging interdisciplinary field. Besides research articles, the volume includes two extended lectures: one on constructive methods in algebraic analysis and the other on the functorial approach to algebraic systems theory. Hence, in addition to its interest for researchers, the volume will also be an invaluable resource for newcomers. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1017 ;$v450 606 $aAlgebra, Homological 606 $aSystem theory 606 $aControl theory 606 $aModel theory 606 $aAlgebra 606 $aDifferential equations 606 $aCategory Theory, Homological Algebra 606 $aSystems Theory, Control 606 $aModel Theory 606 $aAlgebra 606 $aDifferential Equations 615 0$aAlgebra, Homological. 615 0$aSystem theory. 615 0$aControl theory. 615 0$aModel theory. 615 0$aAlgebra. 615 0$aDifferential equations. 615 14$aCategory Theory, Homological Algebra. 615 24$aSystems Theory, Control. 615 24$aModel Theory. 615 24$aAlgebra. 615 24$aDifferential Equations. 676 $a512.6 700 $aMartsinkovsky$b Alexander$01738115 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910855386903321 996 $aFunctor Categories, Model Theory, Algebraic Analysis and Constructive Methods$94160118 997 $aUNINA