Functions Notes Abstract, Exercises of Abstract Algebra

Download Functions Notes Abstract and more Exercises Abstract Algebra in PDF only on Docsity!

f Ve we hove that IMpKCorion: he Soy ¥ 45 Nearne. 5.2. A function f :A — Bis injective if for all ay,a2 € A, we have f (a1) = f (a2) implies a, = a2. Example 5.3. : Fhe Th detined by HUD =X? |G WWF IMDCCKING SHEL #U) = 1=F Dut -\41- att denned Yy, ER" then Xt=-Y* SO oa) oy Fd =X? iS INSECHVE SHAE WE FLD =*(YD votth The Yano + Codomorn are tine Some Definition 5.3. A function f : t+ Codomong are, the Sane? b. In other words, the range of f is B. Example 5.4. FRR denned oy FLW) = KE, 6 MON SUTECENNE KANCE HHEEE IS Noi re Such that FIN=T*= -\ RP derined by HOOK IS Surdecte SiN ye Bh” FID=% Ond KEW