On graded P-compactly packed modules

• Autorzy: Khaldoun Al-Zoubi , Imad Jaradat , Mohammed Al-Dolat
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Graded primary submodules; Graded P-compactly packed modules; Graded finitely P-compactlypacked modules

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-03-29

zaakceptowano

2015-07-13

online

2015-08-10

Twórcy

autor

Khaldoun Al-Zoubi

• Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid
  22110, Jordan

autor

Imad Jaradat

• Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid
  22110, Jordan

autor

Mohammed Al-Dolat

• Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid
  22110, Jordan

Bibliografia

• [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.
• [3] Atani S.E., Tekir U., On the graded primary avoidance theorem, Chiang Mai J. Sci., 2007, 34(2), 161-164.
• [4] Farzalipour F., Ghiasvand P., On the union of graded prime Submodules, Thai J. Math., 2011, 9(1), 49-55.
• [5] Lu C.P., Unions of prime submodules, Houston J. Math., 1997, 23, 203-213.
• [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]
• [8] Refai M., Al-Zoubi K., On graded primary ideals, Turk. J. Math., 2004, 28, 217-229.

Identyfikatory

DOI

10.1515/math-2015-0045