03549nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001000153072001600163072002300179072001500202245022800217250001800445264006900463300004300532336002600575337002600601338003600627347002400663490007200687505061400759520103101373650002602404650001902430650002002449650001802469650001302487650002802500650004202528650002902570650001802599650001302617650002802630700008702658710003402745773002602779776003602805776003602841776003602877830007202913856004602985978-3-031-53063-0DE-He21320251030112029.0cr nn 008mamaa240504s2024    sz |    s    |||| 0|eng d  a97830315306307 a10.1007/978-3-031-53063-02doi 4aQA169 7aPBF2bicssc 7aMAT0020102bisacsh 7aPBF2thema10aFunctor Categories, Model Theory, Algebraic Analysis and Constructive Methodsh[electronic resource] :bFCMTCCT2 2022, Almería, Spain, July 11–15, Invited and Selected Contributions /cedited by Alexander Martsinkovsky.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aVII, 248 p. 2 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringer Proceedings in Mathematics & Statistics,x2194-1017 ;v4500 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.  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. 0aAlgebra, Homological. 0aSystem theory. 0aControl theory. 0aModel theory. 0aAlgebra. 0aDifferential equations.14aCategory Theory, Homological Algebra.24aSystems Theory, Control.24aModel Theory.24aAlgebra.24aDifferential Equations.1 aMartsinkovsky, Alexander.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303153062308iPrinted edition:z978303153064708iPrinted edition:z9783031530654 0aSpringer Proceedings in Mathematics & Statistics,x2194-1017 ;v45040uhttps://doi.org/10.1007/978-3-031-53063-0