id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-1373	Swamy, U.M.; Sankar, Sagi	Lattice Structures on Z+ Induced by Convolutions	2011	11	.pdf	application/pdf	4780	318	85	Since m ∈ C (m) and 1 ∈ C (n), we have, m = m.1 ∈ C (m).C (n) = C (mn). Then by (2)(ii), C (m).C (n) ⊆ C (mn) and therefore m = m.1 ∈ C (m).C (n)⊆ C (mn) and n= n.1 ∈ C (m).C (n)⊆ C (mn) and hence m ≤C mn and n≤C mn.	cache/ejpam-1373.pdf	txt/ejpam-1373.txt