About this article
Published Online: May 27, 2024
Page range: 85 - 104
Received: Oct 28, 2022
Accepted: Mar 15, 2023
DOI: https://doi.org/10.2478/auom-2024-0005
Keywords
© 2024 R.A. Borzooei, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this article, we study relationships between closure operators and hoops. We investigate the properties of closure operators and hoop-homomorphism on hoops. We show that the image of a closure operator on a hoop is isomorphic to a quotient hoop. In addition, we define the notion of closure operator on ideals of hoop and investigate some properties of it and some related results are proved. We define proper closer operators on ideals of hoop and we show that the set of all proper closure operators on hoops makes a bounded lattice by some operations.