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Abstract Which integer polynomials can we write down if the only exponent to be used is 3? Such problems can be considered as instances of the subnearring generation problem. We… Click to show full abstract
Abstract Which integer polynomials can we write down if the only exponent to be used is 3? Such problems can be considered as instances of the subnearring generation problem. We show that the nearring (ℤ[x], +, ◦) of integer polynomials, where the nearring multiplication is the composition of polynomials, has uncountably many subnearrings, and we give an explicit description of those nearrings that are generated by subsets of {1, x, x 2, x 3 }.
Keywords:
generating integer;
polynomials using;
integer polynomials;
integer;
using function;
composition
Journal Title: Quaestiones Mathematicae
Year Published: 2020
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Journal Title: Quaestiones Mathematicae
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!