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J. Korean Math. Soc. 2020; 57(3): 669-689

Online first article November 20, 2019      Printed May 1, 2020

https://doi.org/10.4134/JKMS.j190305

Copyright © The Korean Mathematical Society.

On a family of cohomological degrees

Doan Trung Cuong, Pham Hong Nam

Vietnam Academy of Science and Technology; Thai Nguyen University

Abstract

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Cohomological degrees (or extended degrees) were introduc\-ed by Doering, Gunston and Vasconcelos as measures for the complexity of structure 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

Supported by: The authors are funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.04-2015.26.

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