Binary and ternary structures in physics III. Galois-type theory for binary and ternary structures

Authors

  • Osamu Suzuki Department of Computer and System Analysis, College of Humanities and Sciences, Nihon University, Japan
  • Julian Ławrynowicz Department of Solid State Physics, University of Łódź
  • Małgorzata Nowak-Kępczyk Institute of Mathematics Polish Academy of Sciences

DOI:

https://doi.org/10.26485/0459-6854/2018/68.1/8

Keywords:

nieprzemienne rozszerzenie Galois, algebry skończenie wymiarowe, pierścienie i algebry łączne, binarne struktury fizyczne, ternarne struktury fizyczne, kwinarne struktury fizyczne, senarne struktury fizyczne, noncommutative Galois extensions, finite-dimensional algebras, associative rings and algebras, binary physical structure, ternary physical structure, quinary physical structure, senary physical structure

Abstract

A Galois-type theory for Turing machine is presented as well as its counterpart for binary and ternary structures in physics. In addition an idea of binary-ternary decomposition of quinary and senary structures is indicated with application to polymer research.

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Published

2019-04-26

Issue

Vol. 68 No. 1 (2018)

Section

Articles

How to Cite

Suzuki, O., Ławrynowicz, J., & Nowak-Kępczyk, M. (2019). Binary and ternary structures in physics III. Galois-type theory for binary and ternary structures. Bulletin de la Société Des Sciences et Des Lettres de Łódź, 68(1), 111–130. https://doi.org/10.26485/0459-6854/2018/68.1/8