Integer class properties associated with an integer matrix

J. M. Rybak, J. V. Leyendekkers and A. G. Shannon
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132
Volume 1, 1995, Number 2, Pages 53—59
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Authors and affiliations

J. M. Rybak
The University of Sydney, 2006, Australia

J. V. Leyendekkers
The University of Sydney, 2006, Australia

A. G. Shannon
University of Technology, Sydney, 2007, Australia

Abstract

This paper displays some old results in a new way and extends them in the context of the modular ring Z6. Various Diophantine properties of an integer matrix modulo 6 are developed in a natural way from tables of the basic binary operations.

References

  1. P. Hillman and G. L. Alexanderson, A First Undergraduate Course in Abstract Algebra, Wadsworth, Belmont, 1973.
  2. Hunter, Number Theory, Oliver and Boyd, Edinburgh, 1964.
  3. V. Leyendekkers and J. M. Rybak The generation and analysis of Pythagorean triples within a two-parameter grid. International Journal of Mathematical Education in Science and Technology, in press.
  4. M. Rybak, J. V Leyendekkers and A. G. Shannon, Recurrence relation analysis of Pythagorean triple patterns. Notes on Number Theory and Discrete Mathematics, 1, 1, 1995, 1-10.

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Cite this paper

APA

Rybak, J. M., Leyendekkers, J. V., & Shannon, A. G. (1995). Integer class properties associated with an integer matrix. Notes on Number Theory and Discrete Mathematics, 1(2), 53-59.

Chicago

Rybak, J. M., J. V. Leyendekkers and A. G. Shannon “Integer Class Properties Associated with an Integer Matrix.” Notes on Number Theory and Discrete Mathematics 1, no. 2 (1995): 53-59.

MLA

Rybak, J. M., J. V. Leyendekkers and A. G. Shannon “Integer Class Properties Associated with an Integer Matrix.” Notes on Number Theory and Discrete Mathematics 1.2 (1995): 53-59. Print.

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