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ckcdog
Joined: 23 Apr 2004Posts: 4
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Posted: Sun Oct 10, 2004 8:43 pm Post subject: Elementary ring problem
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Suppose R is a ring. a and b are non-units of R.
Why is that true that either a(b^-1) or (a^-1)b is in R?
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數學白癡 ≧▽≦
Joined: 26 Apr 2004Posts: 11
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Posted: Mon Oct 11, 2004 7:56 pm Post subject:
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You should consider the integer ring.
i.e. the set Z with addition and multiplication.
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