In commutative algebra, the Rees algebra or Rees ring of an ideal I in a commutative ring R is defined to be R [ I t ] = ⨁ n = 0 ∞ I n t n ⊆ R [ t ] . {\displaystyle R[It]=\bigoplus _{n=0}^{\infty }I^{n}t^{n}\subseteq R[t].} The extended Rees algebra of I (which some authors refer to as the Rees algebra of I) is defined as R [ I t , t − 1 ] = ⨁ n = − ∞ ∞ I n t n ⊆ R [ t , t − 1 ] .
In commutative algebra, the Rees algebra or Rees ring of an ideal I in a commutative ring R is defined to be R [ I t ] = ⨁ n = 0 ∞ I n t n ⊆ R [ t ] . {\displaystyle R[It]=\bigoplus _{n=0}^{\infty }I^{n}t^{n}\subseteq R[t].} The extended Rees algebra of I (which some authors refer to as the Rees algebra of I) is defined as R [ I t , t − 1 ] = ⨁ n = − ∞ ∞ I n t n ⊆ R [ t , t − 1 ] .
Source: Wikipedia "Rees algebra" · CC BY-SA 4.0
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