Irreducible polynomials over finite fields with linearly independent roots
Štefan Schwarz (1988)
Mathematica Slovaca
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Štefan Schwarz (1988)
Mathematica Slovaca
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S. D. Cohen (1982)
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Zaharescu, Alexandru (2003)
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A. Schinzel (1983)
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Car, Mireille (1994)
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Andrew Long (1967)
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B. Stankovic (1977)
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Meyn, Helmut, Götz, Werner (1989)
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Christoph Schwarzweller, Artur Korniłowicz (2016)
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In this article we extend the algebraic theory of polynomial rings, formalized in Mizar [1], based on [2], [3]. After introducing constant and monic polynomials we present the canonical embedding of R into R[X] and deal with both unit and irreducible elements. We also define polynomial GCDs and show that for fields F and irreducible polynomials p the field F[X]/ is isomorphic to the field of polynomials with degree smaller than the one of p.
L. Carlitz, A. Long (1977)
Acta Arithmetica
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