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The intersection product for classes of rational equivalence between cycles on an Algebraic Variety.
References
Chow, W.-L.  ``On Equivalence Classes of Cycles in an Algebraic Variety.''  Ann. Math. 64, 450-479, 1956.
 
Wilson, W. S.; Chern, S. S.; Abhyankar, S. S.; Lang, S.; and Igusa, J.-I.  ``Wei-Liang Chow.''  Not. Amer. Math. Soc. 43,
  1117-1124, 1996.