My question is rather simple:
$F$ being a field, what is the meaning of "the closure of $F \cup \{a\}$ under $+,-,*,÷$"?
My question is rather simple:
$F$ being a field, what is the meaning of "the closure of $F \cup \{a\}$ under $+,-,*,÷$"?
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It means all numbers you can construct using elements of $F \cup \{a\}$ and operations $+,-,*,\div$.