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Characterization of monadic BL-algebras by state operators

  • Saeide Zahiri , Arsham Borumand Saeid EMAIL logo and Lavinia Corina Ciungu
Published/Copyright: June 11, 2022
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Abstract

In this paper, we introduce the notion of state monadic BL-algebras and we investigate their properties. We define the concept of state monadic filters and study certain types of state monadic filters; we define and charaterize maximal and prime state monadic filters. Characterizations of local, simple and semisimple state monadic BL-algebras are also explored in the paper as well.

MSC 2010: 08B50; 03G25; 03B52; 03C05

Acknowledgement

The authors are very grateful to the referees for the valuable suggestions in obtaining the final form of this paper.

  1. (Communicated by Anatolij Dvurečenskij)

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Received: 2020-11-06
Accepted: 2021-08-18
Published Online: 2022-06-11
Published in Print: 2022-06-27

© 2022 Mathematical Institute Slovak Academy of Sciences

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