On RM-algebras with an additional condition

Document Type : Special Issue Dedicated to Prof. Esfandiar Eslami

Author

Department of Mathematics, Payame Noor University, Tehran, Iran

Abstract

In this paper, we apply a new condition to RM-algebras. We obtain some relations among this condition with another axioms in some algebras of logic and some examples are given to illustrate them. %It is proved We prove that the relation derived from this new algebra is a partial ordering. It is proved that RM-algebras with condition (I) are abelian group. Also, we present that the BI-algebras, BCK-algebras, L-algebras, KL-algebras CL-algebras and BE-algebras satisfying (I) are trivial.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 13, Issue 4 - Serial Number 29
Special issue dedicated to Professor Esfandiar Eslami
December 2024
Pages 27-38

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History

  • Receive Date: 24 September 2023
  • Revise Date: 10 November 2023
  • Accept Date: 08 December 2023

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