Injective and projective properties of $R[x]$-modules
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 573-578
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 13C11, 16D40, 16D50, 16D80, 16E30, 16S36, 16W60
Keywords: module; inverse polynomial module; injective module; projective modules
@article{CMJ_2004_54_3_a2,
     author = {Park, Sangwon and Cho, Eunha},
     title = {Injective and projective properties of $R[x]$-modules},
     journal = {Czechoslovak Mathematical Journal},
     pages = {573--578},
     year = {2004},
     volume = {54},
     number = {3},
     mrnumber = {2086717},
     zbl = {1080.16502},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a2/}
}
TY  - JOUR
AU  - Park, Sangwon
AU  - Cho, Eunha
TI  - Injective and projective properties of $R[x]$-modules
JO  - Czechoslovak Mathematical Journal
PY  - 2004
SP  - 573
EP  - 578
VL  - 54
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a2/
LA  - en
ID  - CMJ_2004_54_3_a2
ER  - 
%0 Journal Article
%A Park, Sangwon
%A Cho, Eunha
%T Injective and projective properties of $R[x]$-modules
%J Czechoslovak Mathematical Journal
%D 2004
%P 573-578
%V 54
%N 3
%U http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a2/
%G en
%F CMJ_2004_54_3_a2
Park, Sangwon; Cho, Eunha. Injective and projective properties of $R[x]$-modules. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 573-578. http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a2/

[1] A. S.  McKerrow: On the injective dimension of modules of power series. Quart. J.  Math. Oxford 25 (1974), 359–368. | DOI | MR | Zbl

[2] L.  Melkersson: Content and inverse polynomials on artinian modules. Comm. Algebra 26 (1998), 1141–1145. | DOI | MR | Zbl

[3] D. G.  Northcott: Injective envelopes and inverse polynomials. London Math. Soc. 3 (1974), 290–296. | DOI | MR | Zbl

[4] S.  Park: Inverse ploynomials and injective covers. Comm. Algebra 21 (1993), 4599–4613. | DOI | MR

[5] S.  Park: The Macaulay-Northcott functor. Arch. Math. (Basel) 63 (1994), 225–230. | DOI | MR | Zbl

[6] S.  Park: Gorenstein rings and inverse polynomials. Comm. Algebra 28 (2000), 785–789. | DOI | MR | Zbl

[7] S.  Park: Left global dimensions and inverse polynomil modules. Internat. J.  Math. Math. Sci. 24 (2000), 437–440. | DOI | MR

[8] S.  Park: The general structure of inverse polynomial modules. Czechoslovak Math.  J. 51(126) (2001), 343–349. | DOI | MR | Zbl