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HEMI-COMPLEMENTED LATTICES

Publish Year: 1404
Type: Journal paper
Language: English
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JR_JAS-13-2_002

Index date: 15 March 2025

HEMI-COMPLEMENTED LATTICES 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.

HEMI-COMPLEMENTED LATTICES authors

Phaneendra Kumar Ananthapatnayakuni

Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India-۵۳۵۰۰۵.

Sambasiva Rao Mukkamala

Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India-۵۳۵۰۰۵.

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