Irreducible skew polynomials over domains
2021 ◽
Vol 29
(3)
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pp. 75-89
Keyword(s):
Abstract Let S be a domain and R = S[t; σ, δ] a skew polynomial ring, where σ is an injective endomorphism of S and δ a left σ -derivation. We give criteria for skew polynomials f ∈ R of degree less or equal to four to be irreducible. We apply them to low degree polynomials in quantized Weyl algebras and the quantum planes. We also consider f(t) = tm − a ∈ R.
2019 ◽
Vol 63
(1)
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pp. 6-26
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2014 ◽
Vol 57
(3)
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pp. 609-613
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2002 ◽
Vol 67
(3)
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pp. 997-1015
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Keyword(s):
2015 ◽
Vol 14
(05)
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pp. 1550064
2012 ◽
Vol 140
(5)
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pp. 1473-1481
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Keyword(s):
1985 ◽
Vol 38
(2)
◽
pp. 275-280
Keyword(s):
2017 ◽
Vol 102
(6)
◽
pp. 1243-1249
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