Affiliations: [a]
College of Sciences, Shanghai Maritime University, Shanghai, China
| [b]
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
| [c]
Department of Mathematical Sciences, Yazd University, Yazd, Iran
Correspondence:
[*]
Corresponding author. Qiuyan Zhan, College of Sciences, Shanghai Maritime University, Shanghai 201306, China. Supported by NSFC (Grants: 12171022), Tel.:18810313952, Emails: zqy5667@163.com or qyzhan@shmtu.edu.cn.
Abstract: The aim of this paper is to investigate several operators on L-algebras. At first, closure (interior) operators on L-algebras are defined and some properties of them are obtained. Then, existential operators and universal operators on L-algebras are studied, a one-to-one correspondence between the set of all quantifier operators and the set of all relative complete subalgebras of CKL-algebras is constructed. Furthermore, very true operators on L-algebras are investigated and by giving a very true ideal of a very true L-algebra, quotient structures on very true L-algebras are established.
