03923nam a22006015i 4500 978-3-031-53063-0 DE-He213 20251030112029.0 cr nn 008mamaa 240504s2024 sz | s |||| 0|eng d 9783031530630 978-3-031-53063-0 10.1007/978-3-031-53063-0 doi QA169 PBF bicssc MAT002010 bisacsh PBF thema Functor Categories, Model Theory, Algebraic Analysis and Constructive Methods [electronic resource] : FCMTCCT2 2022, Almería, Spain, July 11–15, Invited and Selected Contributions / edited by Alexander Martsinkovsky. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. VII, 248 p. 2 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 450 W. 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. This 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. Algebra, Homological. 70150 System theory. 66519 Control theory. 68675 Model theory. Algebra. 1501 Differential equations. Category Theory, Homological Algebra. 70155 Systems Theory, Control. 68676 Model Theory. Algebra. 1501 Differential Equations. Martsinkovsky, Alexander. editor. edt http://id.loc.gov/vocabulary/relators/edt 76413 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031530623 Printed edition: 9783031530647 Printed edition: 9783031530654 Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 450 72341 https://doi.org/10.1007/978-3-031-53063-0 ZDB-2-SMA ZDB-2-SXMS 59660 59660