Coquasi – Invertible Submodule

Adil   Naoum; Basil   Al-Hashimi; Sahera   Yaseen

doi:10.24996/ijs.2006.47.1.%g

Coquasi – Invertible Submodule

Authors

Adil Naoum Department of Mathematics, College of Science, University of Baghdad, Baghdad-Iraq.
Basil Al-Hashimi Department of Mathematics, College of Science, University of Baghdad, Baghdad-Iraq.
Sahera Yaseen Department of Mathematics, College of Science, University of Baghdad. Baghdad-Iraq.

DOI:

https://doi.org/10.24996/ijs.2006.47.1.%25g

Keywords:

Invertible , Coquasi

Abstract

Let R be a commutative ring with identity. We call the proper submodule N of
M a coquasi - invertible submodule if (M, N)  0
Hom(M,N)  0
Hom the main purpose of this
work is the study of the properties of coquasi - invertible submodules. and give
definithon of corational submodule. Then show that if M is self projective, then N
is coquasi - invertible submodule of M if and only if N is corational in M