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Year 2002, Volume: 51 Issue: 02, 0 - 0, 01.01.2002

A. Ç. Özcan

https://doi.org/10.1501/Commua1_0000000359
Cited By: 1

Abstract

References

  • Communications, Series A1:Mathematics and Statistics

On GCO-modules and M-small modules

Year 2002, Volume: 51 Issue: 02, 0 - 0, 01.01.2002

A. Ç. Özcan

https://doi.org/10.1501/Commua1_0000000359
Cited By: 1

Abstract

Let M be a right R-module. Define Z (N) ( 8 M (N )) to be the set of elements n e N for any R- module N in a[M] such that nR is an M-small (respectively 8-M-small) modüle. In this note it is proved that M is a GCO-module if and only if every M-small modüle in o[M] is M-projective if and only if every *
8-M-small modüle in o[M] is M-projective. Also, if M/8 M (M) is semisimple then M is a GCO-module if and only if M is an Sl-module.

Keywords

V-module Sl-module GCO-module

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

A. Ç. Özcan This is me

Publication Date January 1, 2002
Submission Date January 1, 2002
Published in Issue Year 2002 Volume: 51 Issue: 02

Cite

APA Özcan, A. Ç. (2002). On GCO-modules and M-small modules. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 51(02). https://doi.org/10.1501/Commua1_0000000359
AMA Özcan AÇ. On GCO-modules and M-small modules. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 2002;51(02). doi:10.1501/Commua1_0000000359
Chicago Özcan, A. Ç. “On GCO-Modules and M-Small Modules”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 51, no. 02 (January 2002). https://doi.org/10.1501/Commua1_0000000359.
EndNote Özcan AÇ (January 1, 2002) On GCO-modules and M-small modules. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 51 02
IEEE A. Ç. Özcan, “On GCO-modules and M-small modules”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 51, no. 02, 2002, doi: 10.1501/Commua1_0000000359.
ISNAD Özcan, A. Ç. “On GCO-Modules and M-Small Modules”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 51/02 (January 2002). https://doi.org/10.1501/Commua1_0000000359.
JAMA Özcan AÇ. On GCO-modules and M-small modules. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2002;51. doi:10.1501/Commua1_0000000359.
MLA Özcan, A. Ç. “On GCO-Modules and M-Small Modules”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 51, no. 02, 2002, doi:10.1501/Commua1_0000000359.
Vancouver Özcan AÇ. On GCO-modules and M-small modules. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2002;51(02).

Cited By

The Torsion Theory Cogenerated by δ–M-Small Modules and GCO-Modules
Communications in Algebra
https://doi.org/10.1080/00927870601074871

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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