id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-1295	N. Sandhya Rani	Concepts of Bi-Ternary Semi Groups	2024	11	.pdf	application/pdf	5135	175	71	Therefore 𝐴 be left idealistic of bi ternary semi group 𝑇. Theorem 3.6: The unification of other two left ideals of bi-ternary semi group 𝑇 is a left ideal of 𝑇. Proof: Let 𝐼1, 𝐼2 idealistic left two of bi ternary semi group𝑇. Let 𝑎 ∈ 𝐼1 ∪ 𝐼2 ⟹ 𝑎 ∈ 𝐼1 or 𝑎 ∈ 𝐼2 or both and 𝛼, 𝛽 ∈ 𝑇 𝛼, 𝛽 ∈ 𝑇, 𝑎 ∈ 𝐼1 ⟹ 𝛼𝛽𝑎 ∈ 𝐼1 𝛼, 𝛽 ∈ 𝑇, 𝑎 ∈ 𝐼2 ⟹ 𝛼𝛽𝑎 ∈ 𝐼2 𝛼𝛽𝑎 ∈ 𝐼1, 𝛼𝛽𝑎 ∈ 𝐼2 ⟹ 𝛼𝛽𝑎 ∈ 𝐼1 ∪ 𝐼2 𝛼𝛽𝑎 ∈ 𝐼1 ∪ 𝐼2 Then𝐼1 ∪ 𝐼2 is left ideal of 𝑇. Theorem 3.7: Any family combined of left idealistic of bi-ternary semi group 𝑇 be left ideal of 𝑇. Proof.:	cache/cana-1295.pdf	txt/cana-1295.txt