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(Q1)-A-State(First fundamental theorem) and Show that :(2₂0 /(10), +..) -B-Let f:( M, (Z).+-)-(M, (2).+..) be a function define by such that g vM, (2). Is f is epimorphism (02)-A- نموذجD1 (Z₁0+1010)

(Q1)-A-State(First fundamental theorem) and Show that :(2₂0 /(10), +..) -B-Let f:( M, (Z).+-)-(M, (2).+..) be a function define by such that g vM, (2). Is f is epimorphism (02)-A- نموذجD1 (Z₁0+1010)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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E MEO r,90K/s l 36ll ZAIN IQ zain 1Q محمد فره. . . > Digi (Q1)-A- State(First fundamental theorem ) and Show that :(2,, /(10 ), +,.) = (Z0,+10 r 19) -B- Let f:( M, (Z),+,)-(M,(Z),+,.) be a function define by such that gt4 ) = 9. v4 E M,(Z) . Is f is epimorphism (Q2) -A- () In a ring of (2,+,). Find (147)n (63) n (8) (1) Find the following: rad. (Zo0), rad.(Z4) (HI) Prove or disprove : the natural mapping is epimorphism function (B) Choose and write the correct answer in each sentence a, b,cor d, with a reason. 1- let f: (7, +,)- (Q. +..) be a function such that f(n) = 2n, Vn €Z, then ker. f (4) (0) 2-lf g: (Z,+,-) -(Z/(n),+) be a function such that g(a) = a + (n), Va €Z. then Im.g. (b) z (C) has no kernel (4) (n) (a) Z (b) Z/(n) (C) (n) (d) all of them false
Transcribed Image Text:E MEO r,90K/s l 36ll ZAIN IQ zain 1Q محمد فره. . . > Digi (Q1)-A- State(First fundamental theorem ) and Show that :(2,, /(10 ), +,.) = (Z0,+10 r 19) -B- Let f:( M, (Z),+,)-(M,(Z),+,.) be a function define by such that gt4 ) = 9. v4 E M,(Z) . Is f is epimorphism (Q2) -A- () In a ring of (2,+,). Find (147)n (63) n (8) (1) Find the following: rad. (Zo0), rad.(Z4) (HI) Prove or disprove : the natural mapping is epimorphism function (B) Choose and write the correct answer in each sentence a, b,cor d, with a reason. 1- let f: (7, +,)- (Q. +..) be a function such that f(n) = 2n, Vn €Z, then ker. f (4) (0) 2-lf g: (Z,+,-) -(Z/(n),+) be a function such that g(a) = a + (n), Va €Z. then Im.g. (b) z (C) has no kernel (4) (n) (a) Z (b) Z/(n) (C) (n) (d) all of them false
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