Positive Implicative Makgeolli Ideals of BCK-algebras

Authors

  • Seok-Zun Song Department of Mathematics, Jeju National University, Jeju 690-756, Korea.
  • Mehmet Ali Ozturk Adıyaman University
  • Young Bae Jun Gyeongsang National University

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i4.4522

Keywords:

BCK-soft universe, makgeolli structure, makgeolli ideal, positive implicative makgeolli ideal

Abstract

The concept of a positive implicative makgeolli ideal in BCK-algebras is introduced, and its properties are investigated. The relationship between a makgeolli ideal and a positive implicative makgeolli ideal is established. The conditions under which a makgeolli ideal can be a positive implicative makgeolli ideal are explored. Characterizations of a positive implicative makgeolli ideal are discussed, and the extension property for a positive implicative makgeolli ideal is established.

Author Biographies

Mehmet Ali Ozturk, Adıyaman University

Professor,

Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University

Young Bae Jun, Gyeongsang National University

Department of Mathematics Education, Gyeongsang National University

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Published

2022-10-31

How to Cite

Song, S.-Z., Ozturk, M. . . A., & Jun, Y. B. (2022). Positive Implicative Makgeolli Ideals of BCK-algebras. European Journal of Pure and Applied Mathematics, 15(4), 1498–1511. https://doi.org/10.29020/nybg.ejpam.v15i4.4522

Issue

Vol. 15 No. 4: (October 2022)

Section

Nonlinear Analysis

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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