5 papers · 1 filter
The Complete Intersection property for binomial ideals of collections of cells
Rodica Dinu, Francesco Navarra
In this paper, we provide a combinatorial characterization of those collections of cells whose inner -minor ideals are complete intersections. More precisely, given a collection…
Non-simple polyominoes of KÅnig type and their canonical module
Rodica Dinu, Francesco Navarra
We study the KÅnig type property for non-simple polyominoes. We prove that, for closed path polyominoes, the polyomino ideals are of KÅnig type, extending the results of Herzog a…
On the -condition of edge rings for cactus graphs
Rodica Dinu, Nayana Shibu Deepthi
A cactus graph is a connected graph in which every block is either an edge or a cycle. In this paper, we will examine cactus graphs where all the blocks are -cycles, i.e., trian…
Artinian Gorenstein algebras with binomial Macaulay dual generator
Nasrin Altafi, Rodica Dinu, Sara Faridi +4
This paper initiates a systematic study for key properties of Artinian Gorenstein \(K\)-algebras having binomial Macaulay dual generators. In codimension 3, we demonstrate that all…
New families of Artinian Gorenstein algebras with the weak Lefschetz property
Nasrin Altafi, Rodica Dinu, Shreedevi K. Masuti +3
We construct new families of Artinian Gorenstein graded -algebras of arbitrary codimension having binomial Macaulay dual generators and satisfying the weak or the strong Lefsche…