1.

Record Nr.

UNINA9910855386903321

Autore

Martsinkovsky Alexander

Titolo

Functor Categories, Model Theory, Algebraic Analysis and Constructive Methods : FCMTCCT2 2022, Almería, Spain, July 11–15, Invited and Selected Contributions / / edited by Alexander Martsinkovsky

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024

ISBN

9783031530630

3031530632

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (256 pages)

Collana

Springer Proceedings in Mathematics & Statistics, , 2194-1017 ; ; 450

Disciplina

512.6

Soggetti

Algebra, Homological

System theory

Control theory

Model theory

Algebra

Differential equations

Category Theory, Homological Algebra

Systems Theory, Control

Model Theory

Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.