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The main result of the paper confirms, for generic coordinates, a conjecture which states that r(... more The main result of the paper confirms, for generic coordinates, a conjecture which states that r(R/I) ≤ r(R/in(I)). Here I is a homogeneous polynomial ideal in R and r(R/I) and r(R/in(I)) are the reduction numbers.
Bulletin of The Belgian Mathematical Society-simon Stevin, 1994
We consider the possibility of characterizing Buchsbaum and some special generalized Cohen-Macaul... more We consider the possibility of characterizing Buchsbaum and some special generalized Cohen-Macaulay rings by systems of parameters having certain properties of regular sequences. As an application, we give a bound on Castelnuovo-Mumford regularity of so-called (k, d)-Buchsbaum graded Kalgebras.
The main result of the paper confirms, for generic coordinates, a conjecture which states that r(... more The main result of the paper confirms, for generic coordinates, a conjecture which states that r(R/I) ≤ r(R/in(I)). Here I is a homogeneous polynomial ideal in R and r(R/I) and r(R/in(I)) are the reduction numbers.
Bulletin of The Belgian Mathematical Society-simon Stevin, 1994
We consider the possibility of characterizing Buchsbaum and some special generalized Cohen-Macaul... more We consider the possibility of characterizing Buchsbaum and some special generalized Cohen-Macaulay rings by systems of parameters having certain properties of regular sequences. As an application, we give a bound on Castelnuovo-Mumford regularity of so-called (k, d)-Buchsbaum graded Kalgebras.