We study the Macaulay coefficients induced by the ideal and quotient segments of a degree-δ monomial in n variables. We give explicit formulas for these coefficients and establish a duality between the two theories. Our main result is that the ideal and quotient coefficients form a set partition of \0,1,…,n+δ-2\.
No takes yet. Share an insight, caveat, or question.
Reid Buchanan (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: