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GROUP GRADED TYPES OF BÉZOUT MODULES

  • Ahmed, Mamoon (Department of Basic Sciences Faculty of Engineering Princess Sumaya University for Technology) ;
  • Moh'D, Fida (Department of Basic Sciences Faculty of Engineering Princess Sumaya University for Technology)
  • 투고 : 2016.09.26
  • 심사 : 2017.03.21
  • 발행 : 2017.07.31

초록

In this paper, we introduce two group graded types of $B{\acute{e}}zout$ modules, namely graded-$B{\acute{e}}zout$ modules and weakly graded-$B{\acute{e}}zout$ modules, which are two $B{\acute{e}}zout$ versions in Graded Module Theory. We investigate the relationship among the three types of $B{\acute{e}}zout$ modules, the ordinary $B{\acute{e}}zout$ modules and the two graded types of $B{\acute{e}}zout$ modules. Also, we study the structure of these new $B{\acute{e}}zout$ modules along with different properties; for instance, "A graded-$B{\acute{e}}zout$ R-module, with R being a Noetherian ring, is Noetherien iff it is gr-Noetherian".

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참고문헌

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