Open AccessP-(S. P) Submodules and C1(Extending) Modules
Author(s) -
Abdulsalam F. Talak,
Majid Mohammed Abed
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 - 10.1088/1742-6596/1804/1/012083
Subject(s) - prime (order theory) , invariant (physics) , mathematics , pure mathematics , computer science , algebra over a field , combinatorics , mathematical physics
In this work, we study C 1 -(extending) module M through the sub-module of M which have two properties namely prime and semi-prime (P. (S. P)). Indeed these properties with another concept like fully invariant of any sub-modules explain the main objective of this study. Also heart submodule of a module M and the socle of M are studied with fully invariant property to obtain the same objective.