Quotient of Ordered Meet Hyper Lattices with a Regular Relation

D Ameena Beave; V Senthamil Selvi; S Ramalakshmi

doi:https://doi.org/10.14445/22315373/IJMTT-V65I2P521

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 2 | Year 2019 | Article Id. IJMTT-V65I2P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I2P521

Quotient of Ordered Meet Hyper Lattices with a Regular Relation

D Ameena Beave, V Senthamil Selvi, S Ramalakshmi

Abstract

In this paper, we consider meet hyperlattices and we define ordered meet hyperlattices. It is already introduced that there exists product of hyperlattices [5]. We introduce the notion of product of two ordered meet hyperlattices in this paper. Moreover, we define the quotient of ordered meet hyperlattices with a regular relation. Also, we investigate isomorphism on the product of two ordered meet hyperlattices with a regular relation.

Keywords

Meet hyper lattice [1], regular relation, Quasi-ordered relation.

References

[1] https://www.insa.nic.in/writereaddata/UpLoadedFiles/IJPAM/Vol46_2015_5_ART04.pdf
[2] https://www.researchgate.net/publication/317743259_Ordered_join_hyperlattices
[3] https://www.researchgate.net/publication/233366844_Lattices_Derived_from_Hyperlattices
[4] X. L. Xin and X. G. Li, Onhyperlattices and quotient hyperlattices, Southeast Asian Bulletin of Mathematics, 33 (2009), 299-311.
[5] X. Z. Guo and X. L. Xin, Hyperlattice, Pure Appl. Math., 20 (2004), 40-43.

Citation :

D Ameena Beave, V Senthamil Selvi, S Ramalakshmi, "Quotient of Ordered Meet Hyper Lattices with a Regular Relation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 2, pp. 136-138, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I2P521