Separable Polynomials and Separable Extensions

[1] Broderick Arneson and Piotr Rudnicki. Primitive roots of unity and cyclotomic polynomials. Formalized Mathematics, 12(1):59–67, 2004. Search in Google Scholar

[2] 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. Search in Google Scholar

[3] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6. Search in Google Scholar

[4] 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. Search in Google Scholar

[5] Nathan Jacobson. Basic Algebra I. Dover Books on Mathematics, 1985. Search in Google Scholar

[6] Artur Korniłowicz. Flexary connectives in Mizar. Computer Languages, Systems & Structures, 44:238–250, December 2015. doi:10.1016/j.cl.2015.07.002. Search in Google Scholar

[7] Serge Lang. Algebra. Springer Verlag, 2002 (Revised Third Edition). Search in Google Scholar

[8] Heinz Lüneburg. Die grundlegenden Strukturen der Algebra (in German). Oldenbourg Wisenschaftsverlag, 1999. Search in Google Scholar

[9] Robert Milewski. Fundamental theorem of algebra. Formalized Mathematics, 9(3):461–470, 2001. Search in Google Scholar

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

[11] Christoph Schwarzweller. The binomial theorem for algebraic structures. Formalized Mathematics, 9(3):559–564, 2001. Search in Google Scholar

[12] Christoph Schwarzweller and Artur Korniłowicz. Characteristic of rings. Prime fields. Formalized Mathematics, 23(4):333–349, 2015. doi:10.1515/forma-2015-0027. Search in Google Scholar

[13] Christoph Schwarzweller and Agnieszka Rowińska-Schwarzweller. Simple extensions. Formalized Mathematics, 31(1):287–298, 2023. doi:10.2478/forma-2023-0023. Search in Google Scholar