TY  - JOUR
AU  - Sookoo, Norris 
AU  - Chami, Peter 
PY  - 2007
TI  - Measures on the Quotient Spaces of the Integers
JF  - Journal of Mathematics and Statistics
VL  - 3
IS  - 4
DO  - 10.3844/jmssp.2007.188.195
UR  - https://thescipub.com/abstract/jmssp.2007.188.195
AB  - SK-partitions were introduced by Sharma and Kaushik, who defined distances (metrics) between vectors in terms of partitions of the alphabet set Fq , the set of the ring of integers modulo q. These distances were applied in Coding Theory. The research examined algebraic and topological aspects of SK-partitions and related sets of measures.  A lattice of SK-partitions was introduced and shown to have distributive sub lattices. Generator sets of the lattice were obtained and the structure of its ideals and filters examined.  Corresponding results for lattices of measures were presented.