Principally ⨁-G-〖Rad〗_g-supplemented modules

  • Thaar Younis Ghawi Department of Mathematics, College of Education, University of Al-Qadisiyah, Iraq
  • Narjis Mujtabah Kamil Al-Samawah Education Directorate, Iraqi Ministry of Education, Iraq
Keywords: g-small submodules, principally ⨁-g-supplemented modules, principally sgrs^⊕-modules, ⨁-PG-Rad_g-supplemented modules

Abstract

In this paper, a new concept has been presented that is a stronger than a previous concept called -G--supplemented. The basic definition is in an  ring where an -module  is said to be principally -G--supplemented (shortly, -PG--supplemented) if any cyclic submodule  of  with , there exists a direct summand  of  such that  and . A set of properties and relations between previous modules and the given module has been dealt with simple examples illustrating those relations.

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Published
2022-09-24
How to Cite
Ghawi, T., & Kamil, N. (2022). Principally ⨁-G-〖Rad〗_g-supplemented modules. Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(3), Math Page 75-79. https://doi.org/10.29304/jqcm.2022.14.3.1029
Section
Math Articles

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