On a family of cohomological degrees
J. Korean Math. Soc.
Published online November 20, 2019
Đoàn Trung Cường and Phạm Hồng Nam
Institute of Mathematics, Vietnam Academy of Science and Technology, College of Sciences, Thai Nguyen University
Abstract : Cohomological degrees (or extended degrees) were introduced by Doering, Gunston and Vasconcelos as a measure for the complexity of finitely generated modules over a Noetherian ring. Until now only very few examples of such functions have been known. Using a Cohen-Macaulay obstruction defined earlier, we construct an infinite family of cohomological degrees.
Keywords : cohomological degree, homological degree, almost p-standard system of parameters, Cohen-Macaulay obstruction
MSC numbers : 13H15, 13D03, 13D40
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