Open AccessPrimely Compressible Module Relative To A Submodule
Author(s) -
Ali Mohammed Al-Silaykhee,
Shukur Neamah Al-aeashi
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1963/1/012133
Subject(s) - mathematics , monomorphism , compressibility , prime (order theory) , pure mathematics , topology (electrical circuits) , combinatorics , physics , mechanics , injective function
In this paper, we define anew notion namely Primely Compressible module relative to a submodule N of M denoted by ( N -Pri-Compressible) also, anew generalizations of Primely Compressible relative to a submodule are introduced where a module M is known as ( N -Pri-Compressible) if for all nonzero submodule K of M such that contains N , and N be a nonzero Prime submodule of M . there exists a nonzero monomorphism f: M → K . Many connections between these classes and others have been investigated.