On graded P-compactly packed modules
Khaldoun Al-Zoubi ; Imad Jaradat ; Mohammed Al-Dolat
Open Mathematics, Tome 13 (2015), / Harvested from The Polish Digital Mathematics Library

Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded P-compactly packed modules and we give a number of results concerning such graded modules. In fact, our objective is to investigate graded P-compactly packed modules and examine in particular when graded R-modules are P-compactly packed. Finally, we introduce the concept of graded finitely P-compactly packed modules and give a number of its properties.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:271761
@article{bwmeta1.element.doi-10_1515_math-2015-0045,
     author = {Khaldoun Al-Zoubi and Imad Jaradat and Mohammed Al-Dolat},
     title = {On graded P-compactly packed modules},
     journal = {Open Mathematics},
     volume = {13},
     year = {2015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0045}
}
Khaldoun Al-Zoubi; Imad Jaradat; Mohammed Al-Dolat. On graded P-compactly packed modules. Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0045/

[1] Al-Zoubi K., The graded primary radical of a graded submodules , An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), (in press).

[2] Atani S.E., Farzalipour F., Notes on the graded prime submodules, Int. Math. Forum, 2006, 1(38), 1871-1880. | Zbl 1134.13300

[3] Atani S.E., Tekir U., On the graded primary avoidance theorem, Chiang Mai J. Sci., 2007, 34(2), 161-164. | Zbl 1157.13300

[4] Farzalipour F., Ghiasvand P., On the union of graded prime Submodules, Thai J. Math., 2011, 9(1), 49-55. | Zbl 1260.13001

[5] Lu C.P., Unions of prime submodules, Houston J. Math., 1997, 23, 203-213. | Zbl 0885.13004

[6] Nastasescu C., Van Oystaeyen F., Graded Ring Theory, North Holland, Amesterdam: 1982.

[7] Oral K.H, Tekir U., Agargun A.G., On Graded prime and primary submodules, Turk. J. Math., 2011, 35, 159-167. [WoS] | Zbl 1279.13004

[8] Refai M., Al-Zoubi K., On graded primary ideals, Turk. J. Math., 2004, 28, 217-229. | Zbl 1077.13001