6 papers
Generalized mixed product ideals whose powers have a linear resolution
Monica La Barbiera, Roya Moghimipor
In this paper we study classes of monomial ideals for which all of its powers have a linear resolution. Let K[x_{1},x_{2}] be the polynomial ring in two variables over the field K,…
Combinatorial properties of strong quasi-n-partite graphs
Monica La Barbiera, Roya Moghimipor
Monomial ideals corresponding to strong quasi-n-partite graphs are considered. Some algebraic and combinatorial properties of generalized graph ideals of a strong quasi-n-partite g…
Combinatorics of the integral closure of edge ideals of strong quasi-n-partite graphs
Monica La Barbiera, Roya Moghimipor
Combinatorial properties of some ideals related to strong quasi-n-partites graphs are examined. We prove that the edge ideal of a strong quasi-n-partite graph is not integrally clo…
Polymatroidal property of generalized mixed product ideals
Monica La Barbiera, Roya Moghimipor
Let L be the generalized mixed product ideal induced by a monomial ideal I. In this paper, we study the polymatroidal property of generalized mixed product ideals. Furthermore, som…
Unmixedness of generalized Veronese bi-type ideals
Monica La Barbiera, Roya Moghimipor
In this paper, some algebraic invariants of generalized Veronese bi-type ideals are computed. We characterize the unmixed generalized Veronese bi-type ideals and we give a descript…
Algebraic properties of universal squarefree lexsegment ideals
Marilena Crupi, Monica La Barbiera
Let K be a field and let A be the polynomial ring in n variables with coefficients in the field K We study the universal squarefree lexsegment ideals in A. We put our attention on…