In this paper, we study the Pell polynomials according to modulo m where 2 = 2 + 1 and various properties of these sequences are obtained. Also, Pell polynomials to the ring of complex numbers was defined. We define the Pell Polynomial-type orbits ( , ) ( ) = * + where be a 2-generator ring and ( , ) is a generating pair of the ring .Furthermore, we obtain the periods of the Pell Polynomial-type orbits ( , ) ( ) in finite 2-generator rings of order 2 .
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