HEMI-COMPLEMENTED LATTICES

Articles in Press

Document Type : Original Manuscript

Authors

Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India-535005.

Abstract

The notion of hemicomplemented lattices is introduced and some of the properties of these algebras are studied. Some characterization theorems of hemicomplemented lattices are derived with the help of minimal prime D-filters, ideals, and congruences. The notion of D-Stone lattices is introduced and then derived a set of equivalent conditions for a hemicomplemented lattice to become a D-Stone lattice. Hemicom-complemented lattices and D-Stone lattices are characterized in topological terms.

Keywords

References

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Journal of Algebraic Systems

Articles in Press, Accepted Manuscript
Available Online from 09 April 2024

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