Skew Semi-Heyting Almost Distributive Lattices


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Authors

  • Berhanu Assaye Department of Mathematics, College of Science, Bahir Dar University, Bahir Dar, Ethiopia
  • Mihret Alamneh Department of Mathematics, College of Science, Bahir Dar University, Bahir Dar, Ethiopia
  • Yeshiwas Mebrat Department of Mathematics, Faculty of Natural and Computational Science, Debre Tabor University, Debre Tabor, Ethiopia

Keywords:

Almost distributive lattice (ADL), semi-Heyting almost distributive lattice(SHADL), semi-Heyting algebra, skew semi-Heyting algebra, skew semi-Heyting almost distributive lattice(skew SHADL)

Abstract

In this paper the concept of skew semi-Heyting almost distributive lattice is introduced. We characterize skew semi-Heyting almost distributive lattice interms of a congruence relation and we show that the quotient ADL of a skew semi-Heyting almost distributive lattice modulo the congruence relation is the maximal lattice image of the ADL.

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Published

15-06-2017

How to Cite

Berhanu Assaye, Mihret Alamneh, & Yeshiwas Mebrat. (2017). Skew Semi-Heyting Almost Distributive Lattices. International Journal of Mathematics And Its Applications, 5(2 - C), 359–369. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/829

Issue

Vol. 5 No. 2 - C (2017)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.