文摘
The powers mn of the maximal ideal 523008c" title="Click to view the MathML source">m of a local Noetherian ring R are known to satisfy certain homological properties for large values of n . For example, the homomorphism R→R/mn is Golod for n≫0. We study when such properties hold for small values of n, and we make connections with the structure of the Yoneda Ext algebra, and more precisely with the property that the Yoneda algebra of R is generated in degrees 1 and 2. A complete treatment of these properties is pursued in the case of compressed Gorenstein local rings.