@article {10.3844/jmssp.2009.276.282,
article_type = {journal},
title = {Homomorphisms on Lattices of Measures},
author = {Sookoo, Norris and Chami, Peter},
volume = {5},
year = {2009},
month = {Dec},
pages = {276-282},
doi = {10.3844/jmssp.2009.276.282},
url = {https://thescipub.com/abstract/jmssp.2009.276.282},
abstract = {Problem statement: Homomorphisms on lattices of measures defined on the quotient spaces of the integers were considered. These measures were defined in terms of Sharma-Kaushik partitions. The homomorphisms were studied in terms of their relationship with the underlying Sharma-Kaushik partitions. Approach: We defined certain mappings between lattices of Sharma-Kaushik partitions and showed that they are homomorphisms. These homomorphisms were mirrored in homorphisms between related lattices of measures. Results: We obtained the structure of certain homomorphisms of measures. Conclusion: Further information about homomorphisms between lattices of measures of the type considered here can be obtained by investigating the underlying lattices of Sharma-Kaushik partitions.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}