[理工] [離散]-atom & ring
1.Suppose that (K,．,+)is a Boolean algeba
and a is an atom of K.
Prove that a．b=0 or a．b=a for every a,bεK
2.Suppose that(R,+,．)and(S,⊕,⊙) are two rings
with zero element Zr and Zs respectively.
Given a ring homorphism f:R→S,let K={aεR|f(a)=Zs}
Prove that
(a)(K,．,+) is a ring
(b)K is an ideal of R
這兩題困擾我很久~請高手解答~謝謝
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推
02/24 10:13, , 1F
02/24 10:13, 1F
推
02/24 10:46, , 2F
02/24 10:46, 2F
→
02/24 10:46, , 3F
02/24 10:46, 3F
→
02/24 10:47, , 4F
02/24 10:47, 4F
→
02/24 15:32, , 5F
02/24 15:32, 5F
推
02/24 15:39, , 6F
02/24 15:39, 6F
→
02/25 13:07, , 7F
02/25 13:07, 7F
→
02/25 13:09, , 8F
02/25 13:09, 8F