?-Primary Submodules
Journal: International Journal of Science and Research (IJSR) (Vol.6, No. 4)Publication Date: 2017-04-05
Authors : Nuhad S.AL-Mothafar; Adwia J.Abdil.Al-Khalik;
Page : 1115-1120
Keywords : Prime submodule; Primary submodules; -primesubmodules;
Abstract
Let R be a commutative ring with identity and M be a unitary R-module. Let (M) be the set of all submodules of M, and (M) (M) {} be a function. We say that a proper submoduleP of M is -primary if for each r R and x M, if rx P, then either x P + (P) orr^n M P + (P) for some nZ+. Some of the properties of this concept will be investigated. Some characterizations of -primesubmodules will be given, and we show that under some assumptions primesubmodules and -primarysubmodules are coincide.
Other Latest Articles
- Assessing the Amount of Residual Bone after Loss of Teeth through Dental CT for the Needs of Dental Implantology
- Lateral Subcutaneous Internal Sphincterotomy or Anal Stretching, Which is better for Chronic Fissure: A Prospective Study of 90 Cases
- Methods for Proliferation, Differentiation and Collagen Production Studies of PDL Stem Cells
- Assessment of Oral Sample Collection Technique for the Isolation of Candida albicans from Patients having Denture Stomatitis
- A Stage Model for Cloud Computing Adoption in E-Government Implementation
Last modified: 2021-06-30 18:32:29