Abstract
We define and investigate (structural) row-finite matrices, lower triangular matrices, and power series in near-rings by using inverse limits of some special classes of matrices. Our approach is different from that described in [8]. We show that polynomials can be embedded in power series and power series can be embedded in lower triangular matrices as in rings. We extend the concept of order of a polynomial (or a power series) from rings to near-rings. A natural topology is defined on lower triangular matrices by generalizing the concept of order of power series. We also obtain some results concerning prime and completely prime ideals in lower triangular matrix near-rings.
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