title: Is this relation in 3NF as well as in BCNF?
body: <p>Suppose a relation schema <code>R(A,B,C)</code> and the FDs are </p>
  
  <blockquote>
    <p>{A -> B, B -> C}</p>
  </blockquote>
  
  <p>So the superkeys are <code>{A}, {A,B}</code></p>
  
  <p>Now if we decompose it into <strong>3NF</strong> it will be</p>
  
  <blockquote>
    <p>R1(A,B) with FD {A -> B} and R2(B,C) with FD {B -> C}</p>
  </blockquote>
  
  <p>Is it in <strong>BCNF</strong>? I can't determine. Since <code>B</code> was not a superkey in <code>R</code> does <code>{B -&gt; C}</code> in <code>R2</code> violates <strong>BCNF</strong>?</p>