id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2433	Abed, Alaa Saleh	On SAH – Ideal of BH – Algebra	2020	8	.pdf	application/pdf	2398	147	91	∗ ς∗ ∗ ζ ∈   𝔜 ∧ 0 ∗ ζ∗ ∈   𝔜 0 ∗ ς∗ ∗ ζ ∈ 𝔜 ∧ 0 ∗ ζ∗ ∈ 𝔜 and Since 𝔜 is closed SAH – ideal ∀λ ∈ Λ ,then ∴ 0 ∗ ζ∗ ∗ ς ∈ 𝔜 , ∀λ ∈ Λ ⟹ 0 ∗ ζ∗ ∗ ς ∈   𝔜 ⟹   𝔜 is closed SAH – ideal of € . Proof To prove that   𝔜 is closed SAH – ideal ∀ ς , ζ ∈   𝔜 ⇒ ∃ 𝔜 ∈ 𝔜 ∈ is a c SAH – ideal Such that ∀ ς , ζ ∈ 𝔜 ⟹ 0 ∗ ς∗ ∗ ζ ∈ 𝔜 and 0 ∗ ζ∗ ∈ 𝔜 so 0 ∗ ζ∗ ∗ ς ∈ 𝔜 ⇒ 0 ∗ ζ∗ ∗ ς ∈   𝔜 ⇒   𝔜 is closed SAH – ideal of € .	cache/iajs-2433.pdf	txt/iajs-2433.txt