id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2429	Saadi, Zainab; Ahmed, Ghaleb	On Semisecond Submodules	2020	14	.pdf	application/pdf	7248	499	83	Then 𝑁 𝑁 ⊕ 𝑁 is a semisecond submodule of 𝑀 𝑀 ⊕ 𝑀 if and only if 𝑁 and 𝑁 are semisecond submodules of 𝑀 and 𝑀 respectively. 𝑁 𝑎 𝑁 ⊕ 𝑁 𝑎 and hence 𝑁 𝑎 ⊕ 𝑁 𝑎 𝑁 𝑎 ⊕ 𝑁 𝑎 implies 𝑁 𝑎 𝑁 𝑎 and 𝑁 𝑎 𝑁 𝑎 as required.	cache/iajs-2429.pdf	txt/iajs-2429.txt