On a new class of functional equations satisfied by polynomial functions
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DOI: 10.1007/s00010-021-00781-2
Abstract: The classical result of L. Szekelyhidi states that (under some assumptions) every solution of a general linear equation must be a polynomial function. It is known that Szekelyhidi’s result may be generalized to equations where… read more here.
Keywords: equations satisfied; class functional; satisfied polynomial; new class ... See more keywords
Polynomial functions in the residue class rings of Dedekind domains
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DOI: 10.1142/s1793042119500854
Abstract: In this paper, as an extension of the integer case, we define polynomial functions over the residue class rings of Dedekind domains, and then we give canonical representations and counting formulas for such polynomial functions.… read more here.
Keywords: residue class; rings dedekind; polynomial functions; functions residue ... See more keywords
Polynomial functions on rings of dual numbers over residue class rings of the integers
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DOI: 10.1515/ms-2021-0039
Abstract: Abstract The ring of dual numbers over a ring R is R[α] = R[x]/(x2), where α denotes x + (x2). For any finite commutative ring R, we characterize null polynomials and permutation polynomials on R[α]… read more here.
Keywords: numbers residue; residue class; rings dual; dual numbers ... See more keywords