This paper concerns several ring theoretic properties related to matrices and polynomials. The basic properties of $π$ -reversible and power-Armendariz are studied. We provide a method by which one can always construct a power-Armendariz ring but neither symmetric nor Armendariz from given any symmetric ring. We investigate next various interesting relations among ring theoretic properties containing $π$ -reversibility and power-Armendariz condition.

Communicated by J. Bell

Keywords:

AMSC: 16U80, 16S36

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