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Full Ideals and Ring Groups in Zn[x]
Published online by Cambridge University Press: 20 November 2018
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If we add the operation of composition to the polynomial ring R[X], where R is a commutative ring with identity, we get a tri-operational algebra . A full ideal or tri-operational ideal of
is the kernel of a tri-operational homomorphism on
. This is equivalent [4, pp. 73–74] to the following: A full ideal of
is a ring ideal A of R[x] such that f°g ∈ A for every f ∈ A and g ∈ R[x].
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- Copyright © Canadian Mathematical Society 1976