id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-3089	ALHakeem, Mohammed Baqer; Al-Mothafar, Nuhad Salim	P-small Compressible Modules and P-small Retractable Modules	2023	7	.pdf	application/pdf	3351	192	75	Proof: Suppose that 𝑀 is small compressible 𝑚𝑜𝑑𝑢𝑙𝑒 and let 𝑁 ≪𝑃 𝑀 , then by [3] 𝑁 ≪ 𝑀 and since 𝑀 is small compressible 𝑚𝑜𝑑𝑢𝑙𝑒, therefore 𝑀 is P-small compressible. A proper submodule 𝑁 is called P-small submodule of 𝑀 , (𝑁 ≪𝑃 𝑀) if 𝑁 + 𝑃 ≠ 𝑀 , for any prime submodule 𝑃 of 𝑀, [3].	cache/iajs-3089.pdf	txt/iajs-3089.txt