TY  - JOUR
AU  - Sookoo, Norris 
AU  - Chami, Peter 
PY  - 2009
TI  - Homomorphisms on Lattices of Measures
JF  - Journal of Mathematics and Statistics
VL  - 5
IS  - 4
DO  - 10.3844/jmssp.2009.276.282
UR  - https://thescipub.com/abstract/jmssp.2009.276.282
AB  - 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.