Open AccessOn the Space of Primary La-submodules
Author(s) -
Eman Yahea Habeeb
Publication year - 2020
Publication title -
mağallaẗ ibn al-haytam li-l-ʻulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ/ibn al-haitham journal for pure and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2521-3407
pISSN - 1609-4042
DOI - 10.30526/33.3.2476
Subject(s) - primary (astronomy) , mathematics , space (punctuation) , pure mathematics , reciprocal , ring (chemistry) , set (abstract data type) , topology (electrical circuits) , combinatorics , computer science , physics , philosophy , linguistics , chemistry , organic chemistry , programming language , operating system , astronomy
Suppose that F is a reciprocal ring which has a unity and suppose that H is an F-module. We topologize La-Prim(H), the set of all primary La-submodules of H , similar to that for FPrim(F), the spectrum of fuzzy primary ideals of F, and examine the characteristics of this topological space. Particularly, we will research the relation between La-Prim(H) and La-Prim(F/ Ann(H)) and get some results.