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Resolving algebras with straightening law. (English) Zbl 0770.13015

Given an ideal \(I\) in a polynomial ring over a computable field the author discusses the lifting procedure of a minimal free resolution of the power product ideal of leading terms of \(I\) to a (not necessarily minimal) resolution of \(I\). A general combinatorial approach is presented for the minimization of Taylor’s resolution of a monomial ideal.

MSC:

13F50 Rings with straightening laws, Hodge algebras
13D99 Homological methods in commutative ring theory
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