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Paper IPM / M / 11320  


Abstract:  
Let R be a local CohenMacaulay ring with canonical module ω_{R}. We investigate the following question of Huneke: If the sequence of Betti numbers {β^{R}_{i}(ω_{R})} has polynomial growth, must R be Gorenstein? This question is wellunderstood when R has minimal multiplicity. We investigate this question for a more general class of rings which we say are homologically of minimal multiplicity. We provide several characterizations of the rings in this class and establish a general ascent and descent result.
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