On the gamma spectrum of multiplication gamma acts | Zendy

Mehdi S. Abbas | Zendy; Samer A. Gubeir | Zendy

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On the gamma spectrum of multiplication gamma acts

Author(s) -

Mehdi S. Abbas,

Samer A. Gubeir

Publication year - 2021

Publication title -

kuwait journal of science

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 group , space (punctuation) , pure mathematics , computer science , combinatorics , mathematical analysis , geometry , operating system

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.

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