[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2005.42.3.609

PURITY OF POLYNOMIAL MODULES AND INVERSE POLYNOMIAL MODULES

Park, Sang-Won (DEPARTMENT OF MATHMATHICS, DONG-A UNIVERSITY)
Cho, Eun-Ha (DEPARTMENT OF MATHMATHICS, DONG-A UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 609-616 More about this Journal

Abstract

In this paper we show that we can extend the purity of left R-modules to the case of polynomial modules, bipolynomial modules, and also inverse polynomial modules.

Keywords

module; pure; pure submodule; inverse polynomial module;

Citations & Related Records

Reference

1	A. S. McKerrow, On the Injective Dimension of Modules of Power Series, Quart J. Math. Oxford 25 (1974), no. 3, 359-368 DOI
2	D. G. Northcott, Injective Envelopes and Inverse Polynomials, London Math. Soc. 2 (1974), 290-296
3	S. Park, Inverse Ploynomials and Injective Covers, Comm. Algebra 21 (1993), 4599-4613 DOI ScienceOn
4	S. Park, The Macaulay-Northcott Functor, Arch. Math. (Basel) 63 (1994), 225-230 DOI ScienceOn
5	S. Park, Gorenstein Rings and Inverse Polynomials, Comm. Algebra 28 (2000), no. 2, 785-789 DOI ScienceOn
6	S. Park, The General Structure of Inverse Polynomial Modules, Czechoslovak Math. J. 51 (2001), no. 126, 343-349 DOI ScienceOn
7	J. Rotman, An Introduction to Homological Algebra, Academic Press Inc. New York, 1979