+2 votes
413 views

A prime attribute of a relation scheme $R$ is an attribute that appears

(A) in all candidate keys of $R$

(B) in some candidate key of $R$

(C) in a foreign key of $R$

(D) only in the primary key of $R$

asked | 413 views
Why some?  Why not all?
check below comment.

## 2 Answers

+9 votes
Best answer
prime attribute is a constituent of a candidate key. it need not present in all candidate keys. hence option B is correct

correct me if i went wrong
answered by Veteran (10.6k points)
selected by
@Sankar: yes you are correct it is sufficient if the prime attribute is in any of candidate key. did not read all the options , my bad

Consider a relation $R(ABCDE)$ and $FD =\left \{ AB\rightarrow CD,C\rightarrow B,D\rightarrow E \right \}$.

Here Candidate key  are $AB$ and $AC$.

Prime Attribute:$A$,$B$,$C$.

Now check is B is appearing in both C.K.?No

So prime attribute appears in some CK.

@ManojK sir , It wiould be nice if you could explain ( or verify ) how to find the prime attribute

AFAIK ,  Prime attributes are part of CK
Here CK are AB, AC .  Dependncies invloving them
AB→CD
AC→B
AC→A [ Trivial ]

$\Rightarrow$ (Prime attributes are part of Key ) Prime attributes are CD, C,D,B,A

As you stated Prime attributes are part of CK .

CD is nether CK nor part of any CK here then how CD,D becomes prime attribute.
Got it :)
–3 votes

(A) in all candidate keys of $R$

a prime attribute need not be necessaryly in the primary key alone, though attributes in all the candidate key are considered prime attribute

answered by Loyal (3.1k points)
Answer:

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