A Study on Pseudo 0 - Distributivity And
Super 0 – Distributivity In The Subgroup
Lattice of 2X2 Matrices Over Z3, Z5 AND Z7

Dr. R. Murugesan; R. Seethalakshmi; Dr.P.Namasivayam

doi:https://doi.org/10.14445/22315373/IJMTT-V66I3P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 3 | Year 2020 | Article Id. IJMTT-V66I3P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I3P506

A Study on Pseudo 0 - Distributivity And Super 0 – Distributivity In The Subgroup Lattice of 2X2 Matrices Over Z3, Z5 AND Z7

Dr. R. Murugesan, R. Seethalakshmi, Dr.P.Namasivayam

Abstract

In this paper we verify the lattice theoretic properties like the pseudo 0 - distributivity and super 0 – distributivity in the subgroup lattice of 2x2 matrices over z3, z5 and z7.

Keywords

Matrix group, subgroups, Lattice, pseudo 0 – distributivity, super 0 -distributivity

References

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[6] JebarajThiraviam. D, A Study on some special types of lattices, Ph.D thesis, ManonmaniamSundaranar University,2015.
[7] Vethamanickam. A., and JebarajThiraviam., On Lattices of Subgroups, Int.Journal of Mathematical Archiv-6(9), 2015,1-11.

Citation :

Dr. R. Murugesan, R. Seethalakshmi, Dr.P.Namasivayam, "A Study on Pseudo 0 - Distributivity And Super 0 – Distributivity In The Subgroup Lattice of 2X2 Matrices Over Z3, Z5 AND Z7," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 3, pp. 33-38, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I3P506