On graded P-compactly packed modules
Khaldoun Al-Zoubi; Imad Jaradat; Mohammed Al-Dolat
Open Mathematics (2015)
- Volume: 13, Issue: 1
- ISSN: 2391-5455
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Abstract
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topKhaldoun Al-Zoubi, Imad Jaradat, and Mohammed Al-Dolat. "On graded P-compactly packed modules." Open Mathematics 13.1 (2015): null. <http://eudml.org/doc/271761>.
@article{KhaldounAl2015,
abstract = {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.},
author = {Khaldoun Al-Zoubi, Imad Jaradat, Mohammed Al-Dolat},
journal = {Open Mathematics},
keywords = {Graded primary submodules; Graded P-compactly packed modules; Graded finitely P-compactly
packed modules},
language = {eng},
number = {1},
pages = {null},
title = {On graded P-compactly packed modules},
url = {http://eudml.org/doc/271761},
volume = {13},
year = {2015},
}
TY - JOUR
AU - Khaldoun Al-Zoubi
AU - Imad Jaradat
AU - Mohammed Al-Dolat
TI - On graded P-compactly packed modules
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - null
AB - 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.
LA - eng
KW - Graded primary submodules; Graded P-compactly packed modules; Graded finitely P-compactly
packed modules
UR - http://eudml.org/doc/271761
ER -
References
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- [2] Atani S.E., Farzalipour F., Notes on the graded prime submodules, Int. Math. Forum, 2006, 1(38), 1871-1880. Zbl1134.13300
- [3] Atani S.E., Tekir U., On the graded primary avoidance theorem, Chiang Mai J. Sci., 2007, 34(2), 161-164. Zbl1157.13300
- [4] Farzalipour F., Ghiasvand P., On the union of graded prime Submodules, Thai J. Math., 2011, 9(1), 49-55. Zbl1260.13001
- [5] Lu C.P., Unions of prime submodules, Houston J. Math., 1997, 23, 203-213. Zbl0885.13004
- [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] Zbl1279.13004
- [8] Refai M., Al-Zoubi K., On graded primary ideals, Turk. J. Math., 2004, 28, 217-229. Zbl1077.13001
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