Research Article Open Access

Measures on the Quotient Spaces of the Integers

Norris Sookoo and Peter Chami

Abstract

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.

Journal of Mathematics and Statistics
Volume 3 No. 4, 2007, 188-195

DOI: https://doi.org/10.3844/jmssp.2007.188.195

Submitted On: 30 June 2007 Published On: 31 December 2007

How to Cite: Sookoo, N. & Chami, P. (2007). Measures on the Quotient Spaces of the Integers. Journal of Mathematics and Statistics, 3(4), 188-195. https://doi.org/10.3844/jmssp.2007.188.195

  • 2,627 Views
  • 1,768 Downloads
  • 0 Citations

Download

Keywords

  • Measure
  • Lattice
  • Metric
  • Ideal
  • Generator set