On Roots of Polynomials and Algebraically Closed Fields

[1] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17.10.1007/978-3-319-20615-8_17Abierto DOISearch in Google Scholar

[2] Adam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Four decades of Mizar. Journal of Automated Reasoning, 55(3):191–198, 2015. doi:10.1007/s10817-015-9345-1.10.1007/s10817-015-9345-1Abierto DOISearch in Google Scholar

[3] Adam Grabowski, Artur Korniłowicz, and Christoph Schwarzweller. On algebraic hierarchies in mathematical repository of Mizar. In M. Ganzha, L. Maciaszek, and M. Paprzycki, editors, Proceedings of the 2016 Federated Conference on Computer Science and Information Systems (FedCSIS), volume 8 of Annals of Computer Science and Information Systems, pages 363–371, 2016. doi:10.15439/2016F520.10.15439/2016F520Search in Google Scholar

[4] H. Heuser. Lehrbuch der Analysis. B.G. Teubner Stuttgart, 1990.10.1007/978-3-663-12214-2Search in Google Scholar

[5] Nathan Jacobson. Basic Algebra I. 2nd edition. Dover Publications Inc., 2009.Search in Google Scholar

[6] Heinz Lüneburg. Gruppen, Ringe, Körper: Die grundlegenden Strukturen der Algebra. Oldenbourg Verlag, 1990.Search in Google Scholar

[7] Knut Radbruch. Algebra I. Lecture Notes, University of Kaiserslautern, Germany, 1991.Search in Google Scholar

[8] Christoph Schwarzweller and Agnieszka Rowińska-Schwarzweller. Schur’s theorem on the stability of networks. Formalized Mathematics, 14(4):135–142, 2006. doi:10.2478/v10037-006-0017-9.10.2478/v10037-006-0017-9Abierto DOISearch in Google Scholar

[9] Christoph Schwarzweller, Artur Korniłowicz, and Agnieszka Rowińska-Schwarzweller. Some algebraic properties of polynomial rings. Formalized Mathematics, 24(3):227–237, 2016. doi:10.1515/forma-2016-0019.10.1515/forma-2016-0019Abierto DOISearch in Google Scholar

• Prime Representing Polynomial with 10 Unknowns
• Prime Representing Polynomial with 10 Unknowns – Introduction. Part II
• Formalization of Orthogonal Decomposition for Hilbert Spaces
• Existence and Uniqueness of Algebraic Closures