• Title of article

    On Fully Semiprime Submodules and Fully Semiprime Modules

  • Author/Authors

    Hadi, I.M.A. University of Baghdad - Ibn-Al-Haitham, College of Education - Department of Mathematics, Iraq , Shihab, B.N. University of Baghdad - Ibn-Al-Haitham, College of Education - Department of Mathematics, Iraq

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  • Abstract
    Let R be a commutative ring with unity and let M be a unitary R-module. In this paper we study fully semiprime submodules and fully semiprime modules, where a proper fully invariant R-submodule W of M is called fully semiprime in M if whenever XXW for all fully invariant R-submodule X of M , implies XW. M is called fully semiprime if (0) is a fully semiprime submodule of M. We give basic properties of these concepts. Also we study the relationships between fully semiprime submodules (modules) and other related submodules (modules) respectively
  • Keywords
    Fully semiprime submodule , fully semiprime modules , fully invariant submodule , fully prime modules
  • Journal title
    Ibn Alhaitham Journal For Pure and Applied Science
  • Journal title
    Ibn Alhaitham Journal For Pure and Applied Science
  • Record number

    2601895

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2601895