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math.AC2017
Castelnuovo-Mumford regularity of Koszul cycles and Koszul homologies
Kamran Lamei, Navid Nemati
We extend to one dimensional quotients the result of A. Conca and S. Murai on the convexity of the regularity of Koszul cycles. By providing a relation between the regularity of Ko…
math.AC2016
Graded Betti numbers of good filtrations
Kamran Lamei, Siamak Yassemi
The asymptotic behavior of graded Betti numbers of powers of homogeneous ideals in a polynomial ring over a field has recently been reviewed. We extend quasi polynomial behavior of…
math.AC2013
Graded Betti numbers of powers of ideals
Amir Bagheri, Kamran Lamei
Using the concept of vector partition functions, we investigate the asymptotic behavior of graded Betti numbers of powers of homogeneous ideals in a polynomial ring over a field. O…