A New View on Length Module

https://doi.org/10.32996/jmss.2023.4.2.2

Authors

  • Mohammed Sabah Radwan
    mohammed.734434@gmail.com
    College of Education for Pure Sciences Department of Mathematics University of Tikrit, Iraq
  • Marrwa Abdallah Salih College of Education for Pure Sciences Department of Mathematics University of Tikrit, Iraq
  • Majid Mohammed Abed Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Iraq
Vol. 4 No. 2 (2023): Journal of Mathematics and Statistics Studies
Articles
April 3, 2023

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This paper consists of several new results about Length property of the module M. F-length of any Module comes from several concepts like Neotherian module and Artinian modules (Neo and Art) with comp- sition series. We proved that any Neo -module has submodule T and Neo -module is F-length. This implies that T also has F-length Property. Finally, some remarks, examples and definitions have been presented in this paper.