δ-ideals in MS-Almost Distributive Lattices

Authors

  • Teferi Getachew Alemayehu Addis Ababa University
  • Wondwosen Zemene Norahun University of Gondar
  • Gezahagne Mulat Addis University of Gondar
  • Derso Abeje Engidaw University of Gondar

DOI:

https://doi.org/10.20372/ejncs.v3i2.780

Keywords:

MS-algebras, almost distributive lattices, δ-ideals, MS-ADLs, homomorphisms MSC Code: 06D99, 06D15

Abstract

In this paper, we introduce the concept of δ-ideals in MS-ADL analogous to that of MS-algebras and explore their properties. It is proved that the class of all δ-ideals forms a complete distributive lattice. We provided a set of equivalent conditions for a given ideal of an MS-ADL to be a δideal. Furthermore, the image and inverse image of δ-ideals were also studied under a homomorphism mapping.

Published

2024-05-07

How to Cite

Teferi Getachew Alemayehu, Wondwosen Zemene Norahun, Gezahagne Mulat Addis and Derso Abeje Engidaw (2024) “δ-ideals in MS-Almost Distributive Lattices”, Ethiopian Journal of Natural and Computational Sciences , 3(2), pp. 462–468. doi: 10.20372/ejncs.v3i2.780.

Issue

Vol. 3 No. 2 (2023): Ethiopian Journal of Natural and Computational Sciences

Section

Original Research

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