35 citations · 204 across the 75 of their papers we have counts for
5 papers · 1 filter
Contribution in combinatorics in commutative algebra.(ph-d thesis)
Mircea Cimpoeas
In the first chapter we present new results related on monomial ideals of Borel type. Also, we introduce a new class of monomial ideals, called $\de$-fixed ideals, which generalize…
Some remarks on Borel type ideals
Mircea Cimpoeas
We give new equivalent characterizations for ideals of Borel type. Also, we prove that the regularity of a product of ideals of Borel type is bounded by the sum of the regularities…
Regularity for certain classes of monomial ideals
Mircea Cimpoeas
We introduce a new class of monomial ideals, called strong Borel type ideals, and we compute the Mumford-Castelnouvo regularity for principal strong Borel type ideals. Also, we des…
A note on the generic initial ideal for complete intersections
Mircea Cimpoeas
We prove that the -component of the generic initial ideal, with respect to the reverse lexicographic order, of an ideal generated by a regular sequence of homogeneous polynomial…
A stable property of Borel type ideals
Mircea Cimpoeas
In this paper, we extend a result of Eisenbud-Reeves-Totaro in the frame of ideals of Borel type.