id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-1242	Atani, Shahabaddin Ebrahimi; Atani, Reza Ebrahimi; Tekir, Unsal	A Zariski Topology for Semimodules	2011	15	.pdf	application/pdf	8089	521	84	Let I be an ideal of R and q+ N ∈ M/N , where q ∈ QM and set J = {r ∈ R : r.(q+ N) ∈ I(M/N)}; we show that J is a strong k-ideal of R. Let r, r ′ ∈ J . It is enough to show that for each r ∈ I and for each q+ N ∈ M/N we have r.(q + N) ∈ (IM + N)/N .	cache/ejpam-1242.pdf	txt/ejpam-1242.txt