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September 23rd, 2018, 09:27 AM   #1
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ring with unity

We say that a set A with two distinct binary operations + and * has ring structure when (A, +) is abelian group and (A, +, *) satisfies certain properties. On the condition necessary and sufficient for (A, +, *) to be a ring with unity, class V for true sentences and F for false sentences:
() Have a neutral element in relation to the operation *.
() Have a neutral element in relation to the + operation.
() Admit closure for both operations in question.
() Check the distributive property of multiplication in relation to addition.

Check the alternative that presents the sequence CORRECT:
a) V-F-F-F.
b) V-V-F-F.
c) F-V-F-F.
d) F-F-V-V.

I think the letter c

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September 23rd, 2018, 03:44 PM   #2
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(e) None of the above.
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