2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75355It gives a class of $p$-Borel principal ideals of a polynomial algebra over a field $K$ for which the graded Betti numbers do not depend on the characteristic of $K$ and the Koszul homology modules have monomial cyclic basis. Also it shows that all principal $p$-Borel ideals have binomial cycle basis on Koszul homology modules.18 pagesCommutative Algebra13D02; 13D07; 13P10; 13D99text