Measures on the Quotient Spaces of the Integers | Science Publications

Journal of Mathematics and Statistics

Peter Chami¹  Norris Sookoo¹ 

关键词: Measure;    Lattice;    Metric;    Ideal;    Generator set;   

DOI  :  10.3844/jmssp.2007.188.195

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

SK-partitions were introduced by Sharma and Kaushik, who defined distances (metrics) between vectors in terms of partitions of the alphabet set F_q , 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.

【 授权许可】

Unknown