Abstract
Finite projective algebras B over arbitrary commutative rings A are discussed with respect to dualizing B-modules over B and over A. This leads to quasi-Frobenius algebras in a natural way. Several change of rings characterizations of quasi-Frobenius algebras are given. Secondly, locally complete intersections and complete intersections are considered unter the point of view of quasi-Frobenius algebras resp. Frobenius algebras. Characterizations of complete intersections are obtained by using algebraic K-theory and differential modules. Some applications refer to representations of affine curves as idealtheoretic complete intersections.
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