Erhard Aichinger, Sebastian Kreinecker,
"Generating integer polynomials from X^2 and X^3 using function composition: a study of subnearrings of (Z[X], +, o)"
, in Quaestiones Mathematicae, Vol. 44, Seite(n) 693-715, 2021, ISSN: 1607-3606
Original Titel:
Generating integer polynomials from X^2 and X^3 using function composition: a study of subnearrings of (Z[X], +, o)
Sprache des Titels:
Deutsch
Original Kurzfassung:
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}.
Forschungs-