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McCoy property of Hurwitz series rings

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Based on a theorem of McCoy on commutative rings, Nielsen called a ring R right McCoy if for any nonzero polynomials f(x),g(x) over R, f(x)g(x) = 0 implies f(x)r =… Click to show full abstract

Based on a theorem of McCoy on commutative rings, Nielsen called a ring R right McCoy if for any nonzero polynomials f(x),g(x) over R, f(x)g(x) = 0 implies f(x)r = 0 for some 0≠r ∈ R. In this note,...

Keywords: series rings; hurwitz series; mccoy property; property hurwitz

Journal Title: Asian-european Journal of Mathematics
Year Published: 2020

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