State hoops

Author:

Ali Borzooei Rajab1,Aaly Kologani Mona2,Zahiri Omid3

Affiliation:

1. Department of Mathematics Shahid Beheshti University Tehran Iran

2. Department of Mathematics Payamnour University Tehran Iran

3. University of Applied Science and Technology Tehran Iran

Abstract

Abstract In this paper, we define the notions of a state ⊔-hoop and a state-morphism ⊔-hoop extending the language of hoop by adding a unary operator and investigate some properties of them. Also, we extend state ⊔-hoop to state hoop and study the relation between state hoops and state BL-algebras, MV-algebras and BCK-algebras.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The extension of L-algebras and states;Fuzzy Sets and Systems;2023-03

2. Regular and Boolean elements in hoops and constructing Boolean algebras using regular filters;AN STI U OVID CO-MAT;2023

3. Soft Set Theory Applied to Hoops;Analele Universitatii "Ovidius" Constanta - Seria Matematica;2020-03-01

4. On co-annihilators in hoops;Journal of Intelligent & Fuzzy Systems;2019-10-25

5. Involutive filters of pseudo-hoops;Soft Computing;2019-02-14

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