Abstract
We study whether the projective and injective properties of left R-modules can be implied to the special kind of left R[x]-modules, especially to the case of inverse polynomial modules and Laurent polynomial modules.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. S. McKerrow: On the injective dimension of modules of power series. Quart. J. Math. Oxford 25 (1974), 359-368.
L. Melkersson: Content and inverse polynomials on artinian modules. Comm. Algebra 26 (1998), 1141-1145.
D. G. Northcott: Injective envelopes and inverse polynomials. London Math. Soc. 3 (1974), 290-296.
S. Park: Inverse ploynomials and injective covers. Comm. Algebra 21 (1993), 4599-dy4613.
S. Park: The Macaulay-Northcott functor. Arch. Math. (Basel) 63 (1994), 225-230.
S. Park: Gorenstein rings and inverse polynomials. Comm. Algebra 28 (2000), 785-789.
S. Park: Left global dimensions and inverse polynomil modules. Internat. J. Math. Math. Sci. 24 (2000), 437-440.
S. Park: The general structure of inverse polynomial modules. Czechoslovak Math. J. 51(126) (2001), 343-349.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Park, S., Cho, E. Injective and Projective Properties of R[x]-Modules. Czechoslovak Mathematical Journal 54, 573–578 (2004). https://doi.org/10.1007/s10587-004-6409-5
Issue Date:
DOI: https://doi.org/10.1007/s10587-004-6409-5