On minimal modules. (English) Zbl 0808.16050
An example is given, showing that not every free finitely generated differential graded \(\Lambda\)-module is chain equivalent to a free finitely generated minimal differential graded \(\Lambda\)-module. Then it is shown that the above implication is true under the extra condition that the kernel of the augmentation map is nilpotent.
Reviewer: C.Năstăsescu (Bucureşti)
MSC:
16W50 | Graded rings and modules (associative rings and algebras) |
13N05 | Modules of differentials |
16S10 | Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) |
16W25 | Derivations, actions of Lie algebras |