JP Journal of Algebra, Number Theory and Applications
Volume 44, Issue 1, Pages 103 - 111
(October 2019) http://dx.doi.org/10.17654/NT044010103 |
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EULER-FERMAT TYPE THEOREM FOR 2 BY 2 MATRIX RING OVER
Fumitsuna Maruyama, Yozo Deguchi and Masao Toyoizumi
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Abstract: We investigate Euler-Fermat type theorem for 2 by 2 matrix ring over where p is a prime number. We prove that for any invertible matrix A in the ring, becomes the unit matrix and the exponent can be replaced by if p is an odd prime number and |
Keywords and phrases: Fermat’s little theorem, matrix ring, finite field.
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