On the homological structures associated with certain Artin algebras (Q1063671)

Let R be a finite dimensional algebra over an algebraically closed field F. The author continues his investigations [ibid. 69, 43-66 (1981; Zbl 0461.16026) and 87, 16-27 (1984; Zbl 0547.16011)] on properties of the extension rings \(Ext^*_ R(S,S)\), where S is a simple left R-module, and \(\oplus Ext^*_ R(S_ i,S_ j)\), where the summation is taken over all pairs \((S_ i,S_ j)\) of simple left R-modules. Under the condition that the indecomposable projective or injective left R-modules are uniserial the author gets results on generating elements of these extension rings.