%0 Journal Article
%T Derivatives over Certain Finite Rings
%A Soud K. Mohamed
%J Open Access Library Journal
%V 4
%N 12
%P 1-11
%@ 2333-9721
%D 2017
%I Open Access Library
%R 10.4236/oalib.1104116
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">We introduce a derivative of a relation over the ring of integers modulo an odd number which is based on the very fundamental concepts which helped in the evolution of derivative of a function over the real num</span><span style="line-height:1.5;">ber field, namely slope. Then, for a prime field </span><i style="line-height:1.5;">GF</i><span style="line-height:1.5;">(</span><i style="line-height:1.5;">p</i><span style="line-height:1.5;">), we use the derivatives to construct an algo-rithm that find all the directions, in the sense of Redei [1], of graphs of certain exponential relations over </span><i style="line-height:1.5;">R</i><span style="line-height:1.5;">.</span>
</div>
%K Relations
%K Derivatives
%K Directions
%U http://www.oalib.com/paper/5291340