Multipliers in weak Heyting algebras

Document Type : Special Issue Dedicated to Prof. Esfandiar Eslami

Author

Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In this paper, we introduce the notion of multipliers in weak Heyting algebras and investigate some related properties of them. We obtain the relations between multipliers, closure operators, and homomorphisms in weak Heyting algebras. Relations among image sets and fixed point sets of multipliers in weak Heyting algebras are investigated. Also, we study algebraic structures of the set of all multipliers in weak Heyting algebras. Using multipliers, the left and right m-stabilizers in weak Heyting algebras are introduced, and some related properties are given. Also, we obtain conditions
such that the left and right m-stabilizers form two weak Heyting algebras.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research

Articles in Press, Accepted Manuscript
Available Online from 04 March 2024

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History

  • Receive Date: 01 January 2024
  • Revise Date: 11 February 2024
  • Accept Date: 04 March 2024

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