Uniform bounds in generalized Cohen–Macaulay rings
Copyright policy )Uniform bounds in generalized Cohen–Macaulay rings
We establish a uniform bound for the Castelnuovo-Mumford regularity of associated graded rings of parameter ideals in a generalized Cohen-Macaulay ring. As consequences, we obtain uniform bounds for the relation type and the postulation number. Moreover, we show that generalized Cohen-Macaulay rings can be characterized by the existence of such uniform bounds.
12 pages
- University of Education, Winneba Ghana
- Institute of Mathematics Viet Nam
Algebra and Number Theory, 13H10, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Relation type, relation type, Parameter ideal, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Castelnuovo–Mumford regularity, generalized Cohen-Macaulay rings, FOS: Mathematics, Postulation number, Generalized Cohen–Macaulay rings, postulation number, Castelnuovo-Mumford regularity, parameter ideal
Algebra and Number Theory, 13H10, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Relation type, relation type, Parameter ideal, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Castelnuovo–Mumford regularity, generalized Cohen-Macaulay rings, FOS: Mathematics, Postulation number, Generalized Cohen–Macaulay rings, postulation number, Castelnuovo-Mumford regularity, parameter ideal
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