Implicative Almost Distributive Lattice

Authors

  • Berhanu Assaye Alaba Department of Mathematics, College of Science, Bahir Dar University
  • Mihret Alamneh Department of Mathematics, College of Science, Bahir Dar University
  • Tilahun Mekonnen Munie Department of Mathematics, College of Science, Bahir Dar University

Keywords:

Almost distributive lattices, implicative algebra

Abstract

In this paper, we introduce the concept of Implicative Almost Distributive Lattices (IADLs) as a generalization of implicative algebra in the class of Almost Distributive Lattices. We discuss some properties of IADL and derive some equivalent conditions in IADLs. We also discuss some characterizations of IADL to become an implicative algebra

References

X. Yang, “Lattice implication algebras [j],” Journal of Southwest Jiaotong University, vol. 1, 1993.

Y. Xu and K. Qin, “implication algebras and lattice implication algebra classes, j,” Hebei Mining and Civil Engineering Institute, vol. 3, pp. 139–143, 1992.

X. Yang, L. Jun, S. Zhenming, and Q. Keyun, “On semantics of l-valued first-order logic lvft,” International Journal of General System, vol. 29, no. 1, pp. 53–79, 2000.

V. Kolluru and B. Bekele, “Implicative algebras,” Momona Ethiopian Journal of Science, vol. 4, no. 1, pp. 90–101, 2012.

U. Swamy and G. Rao, “Almost distributive lattices,” Journal of the Australian Mathematical Society, vol. 31, no. 1, pp. 77–91, 1981.

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Published

2018-02-15

How to Cite

Alaba, B. A., Alamneh, M., & Munie, T. M. (2018). Implicative Almost Distributive Lattice. (IJCSAM) International Journal of Computing Science and Applied Mathematics, 4(1), 19–22. Retrieved from https://journal.its.ac.id/index.php/ijcsam/article/view/4572

Issue

Vol. 4 No. 1 (2018)

Section

Articles