Finite 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.Open DOISearch in Google Scholar

[2]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.Open DOISearch in Google Scholar

[3]Adam Grabowski, Artur Korniłowicz, and Christoph Schwarzweller. Equality in computer proof-assistants. In Ganzha, Maria and Maciaszek, Leszek and Paprzycki, Marcin, editor, Proceedings of the 2015 Federated Conference on Computer Science and Information Systems, volume 5 of ACSIS-Annals of Computer Science and Information Systems, pages 45–54. IEEE, 2015. doi:10.15439/2015F229.Open DOISearch 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.Open DOISearch in Google Scholar

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

[6]Emin Karayel. Finite fields. Archive of Formal Proofs, 2022. https://isa-afp.org/entries/Finite_Fields.html, Formal proof development.Search in Google Scholar

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

[8]Artur Korniłowicz and Christoph Schwarzweller. The first isomorphism theorem and other properties of rings. Formalized Mathematics, 22(4):291–301, 2014. doi:10.2478/forma-2014-0029.Open DOISearch in Google Scholar

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

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

[11]Christoph Schwarzweller. Existence and uniqueness of algebraic closures. Formalized Mathematics, 30(4):281–294, 2022. doi:10.2478/forma-2022-0022.Open DOISearch in Google Scholar

[12]Christoph Schwarzweller. Normal extensions. Formalized Mathematics, 31(1):121–130, 2023. doi:10.2478/forma-2023-0011.Open DOISearch in Google Scholar

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