Open AccessOn the gamma spectrum of multiplication gamma acts
Author(s) -
Samer Adnan Jubair
Publication year - 2021
Publication title -
maǧallaẗ al-kuwayt li-l-ʿulūm
Language(s) - English
Resource type - Journals
eISSN - 2307-4116
pISSN - 2307-4108
DOI - 10.48129/kjs.v48i2.10147
Subject(s) - topology (electrical circuits) , mathematics , multiplication (music) , topological space , generalization , algebraic number , axiom , topological algebra , topological group , topological vector space , space (punctuation) , spectrum (functional analysis) , pure mathematics , physics , combinatorics , computer science , mathematical analysis , geometry , operating system , quantum mechanics
In this paper, we introduce the concept of topological gamma acts as a generalization of Zariski topology. Some topological properties of this topology are studied. Various algebraic properties of topological gamma acts have been discussed. We clarify the interplay between this topological space's properties and the algebraic properties of the gamma acts under consideration. Also, the relation between this topological space and (multiplication, cyclic) gamma act was discussed. We also study some separation axioms and the compactness of this topological space.