A NOTE ON COMPLEMENTS IN A LATTICE

S. P. Kuncham; S. Tapatee; K. B. Sridhara; B. S. Kedukodi; P. K. Harikrishnan

A NOTE ON COMPLEMENTS IN A LATTICE

S. P. Kuncham, S. Tapatee^*, K. B. Sridhara, B. S. Kedukodi, P. K. Harikrishnan^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The concept of modular lattices naturally exhibit the links between the theoretical aspects of discrete structures and corresponding applications. In this paper, we consider the complements in a modular lattice with finite Goldie dimension (in short, F GD). We prove several properties and characterizations that involve θ-complement, θ-closed and relative θ-complemented, weak θ-complemented, etc in a lattice. We provide the necessary illustrations to justify the notions and generalizations in this paper.

Original language	English
Pages (from-to)	91-103
Number of pages	13
Journal	Global and Stochastic Analysis
Volume	12
Issue number	2
Publication status	Published - 03-2025

All Science Journal Classification (ASJC) codes

Statistics and Probability
Discrete Mathematics and Combinatorics

Cite this

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author = "Kuncham, {S. P.} and S. Tapatee and Sridhara, {K. B.} and Kedukodi, {B. S.} and Harikrishnan, {P. K.}",

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AU - Kuncham, S. P.

AU - Tapatee, S.

AU - Sridhara, K. B.

AU - Kedukodi, B. S.

AU - Harikrishnan, P. K.

PY - 2025/3

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AB - The concept of modular lattices naturally exhibit the links between the theoretical aspects of discrete structures and corresponding applications. In this paper, we consider the complements in a modular lattice with finite Goldie dimension (in short, F GD). We prove several properties and characterizations that involve θ-complement, θ-closed and relative θ-complemented, weak θ-complemented, etc in a lattice. We provide the necessary illustrations to justify the notions and generalizations in this paper.

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A NOTE ON COMPLEMENTS IN A LATTICE

Abstract

All Science Journal Classification (ASJC) codes

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