P-small Compressible Modules and P-small Retractable Modules

Authors

  • Mohammed Baqer ALHakeem Department of Mathematics, College of Science, University of Baghdad , Iraq
  • Nuhad Salim Al-Mothafar Department of Mathematics, College of Science, University of Baghdad, Iraq.

DOI:

https://doi.org/10.30526/36.3.3089

Abstract

Let  be a commutative ring with 1 and  be left unitary  . In this papers we introduced and studied concept P-small compressible  (An     is said to be P-small compressible if  can be embedded in every of it is nonzero P-small submodule of . Equivalently,  is P-small compressible if there exists a monomorphism  , ,     is said to be P-small retractable if  , for every non-zero P-small submodule of . Equivalently,  is P-small retractable if there exists a homomorphism  whenever  as a generalization of compressible  and retractable  respectively and give some of their advantages characterizations and examples.

References

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Published

20-Jul-2023

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Section

Mathematics

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