Irreducibility of A Formal Power Series with Integer Coefficients


Affiliations

  • Nalbari College, Department of Mathematics, Nalbari, 781335, India
  • Gauhati University, Department of Mathematics, Guwahati, 781014, India

Abstract

In this article, we have established a relation between total number of partitions of a positive integer n and all possible factorizations of a power series with constant term prime power pn, into irreducible power series. Finally we try to develop an irreducibility criterion for power series whose constant term is a prime power.

Keywords

Irreducible element, invertible element, factorization, formal power series ring

Subject Discipline

Algebra; Factorization of Formal Power Series

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References

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