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Bull. Korean Math. Soc. 2018; 55(2): 499-505

Online first article September 8, 2017      Printed March 30, 2018

https://doi.org/10.4134/BKMS.b170085

Copyright © The Korean Mathematical Society.

Dual bass numbers and co-Cohen Macaulay modules

Lingguang Li

Tongji University

Abstract

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In this paper, we show that the co-localization of co-Cohen Macaulay modules preserves co-Cohen Macaulayness under a certain condition. In addition, we give a characterization of co-Cohen Macaulay modules by vanishing properties of the dual Bass numbers of modules.

Keywords: co-localization, dual Bass number, co-Cohen Macaulay module

MSC numbers: 13C14, 13C15, 13E10

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