On generalization of Rad-d11-module

Majid Mohammed Abed, Abd. Ghafur Ahmad, A. O. Abdulkareem

Research output: Contribution to journalArticle

Abstract

This paper gives generalization of a notion of supplemented module. Here, we utilize some algebraic properties like Di,amply supplemented and local modules in order to obtain the generalization. Other properties that are instrumental in this generalization are SSP and SIP. If a module M is Rad -D11-module and has D3 property, then M is said to be completely- Rad -D11-module (C-Rad-D11-module). Similarly, it is for M with SSP property. Also, in order to achieve our aim, we will introduce other properties such as C3 and injective for the module considered.

Original languageEnglish
Pages (from-to)491-508
Number of pages18
JournalFar East Journal of Mathematical Sciences
Volume99
Issue number4
DOIs
Publication statusPublished - 1 Feb 2016

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Module
Injective
Generalization

Keywords

  • Amply supplemented
  • C property
  • D-module
  • Injective module
  • Local module
  • Rad-supplemented

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On generalization of Rad-d11-module. / Abed, Majid Mohammed; Ahmad, Abd. Ghafur; Abdulkareem, A. O.

In: Far East Journal of Mathematical Sciences, Vol. 99, No. 4, 01.02.2016, p. 491-508.

Research output: Contribution to journalArticle

Abed, Majid Mohammed ; Ahmad, Abd. Ghafur ; Abdulkareem, A. O. / On generalization of Rad-d11-module. In: Far East Journal of Mathematical Sciences. 2016 ; Vol. 99, No. 4. pp. 491-508.
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