6 citations · 21 across the 7 of their papers we have counts for
7 papers
On the behavior of the size of a monomial ideal
Bogdan Ichim, Andrei Zarojanu
In this paper we study the behavior of the size of a monomial ideal under polarization and under generic deformations. As an application, we extend a result relating the size and t…
On the regularity of binomial edge ideals
Viviana Ene, Andrei Zarojanu
We study the regularity of binomial edge ideals. For a closed graph we show that the regularity of the binomial edge ideal coincides with the regularity of $\ini_{\lex}(J…
Three generated, squarefree, monomial ideals
Dorin Popescu, Andrei Zarojanu
Let be two squarefree monomial ideals of a polynomial algebra over a field generated in degree , resp. . Suppose that is generated by three m…
An algorithm for computing the multigraded Hilbert depth of a module
Bogdan Ichim, Andrei Zarojanu
A method for computing the multigraded Hilbert depth of a module was presented in [16]. In this paper we improve the method and we introduce an effective algorithm for performing t…
Depth of some special monomial ideals
Dorin Popescu, Andrei Zarojanu
Let be two squarefree monomial ideals of a polynomial algebra over a field. Suppose that is generated by one squarefree monomial of degree , and other squ…
Depth of some square free monomial ideals
Dorin Popescu, Andrei Zarojanu
Let be two square free monomial ideals of a polynomial algebra over a field generated in degree , resp. . Almost always when contains precisely…