Abstract
For a non-zero algebraic integer α, let ℚ(α) denote the simple extension of the field of rational numbers ℚ. ℤ[α] is the smallest subring of ℚ(α) containing both ℤ and α. In this article, we present an account for testing irreducibility of a given polynomial with coefficients in ℤ[α] over the field ℚ(α).
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Acknowledgement
I thank Mr. Rajendra Singh Bhati (IISER Mohali) for his help during the manuscript preparation and submission procedure.
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Singh, G. An Irreducibility Test for Polynomials whose Coefficients are Algebraic Integers. Indian J Pure Appl Math 51, 171–177 (2020). https://doi.org/10.1007/s13226-020-0392-x
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DOI: https://doi.org/10.1007/s13226-020-0392-x