In mathematics, a Hodge algebra or algebra with straightening law is a commutative algebra that is a free module over some ring R, together with a given basis similar to the basis of standard monomials of the coordinate ring of a Grassmannian.
Hodge algebras were introduced by Corrado De Concini, David Eisenbud, and Claudio Procesi (1982), who named them after W. V. D. Hodge.
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