Monomial conjecture
Introduction In commutative algebra, a field of mathematics, the '''monomial conjecture''' of Melvin Hochster says the following:Let ''A'' be a Noetherian local ring of Krull dimension ''d'' and let ''x''1, ..., ''x''''d'' be a system of parameters for ''A'' (so that ''A''/(''x''1, ..., ''x''''d'') is an Artinian ring). Then for all positive integers ''t'', we have: The statement can relatively easily be shown in characteristic zero.
References
See also * Homological conjectures in commutative algebra