Differential graded modules over a nonconnected differential graded algebra

Differential Graded Algebra

Differential Graded Algebra

Differential Graded Modules and Cosimplicial Modules

The ultimate purpose of this part is to explain the definition of models for the rational homotopy of spaces. In our constructions, we use the classical Sullivan model, defined in terms of unitary commutative cochain dg-algebras, and a cosimplicial version of this model, involving cosimplicial algebra structures. The purpose of this preliminary chapter is to provide a survey of constructions on...

On a graded q-differential algebra

We construct the graded q-differential algebra on a ZN -graded algebra by means of a graded q-commutator. We apply this construction to a reduced quantum plane and study the first order differential calculus on a reduced quantum plane induced by the N -differential of the graded q-differential algebra. 1 Graded q-differential algebra In this section given a ZN -graded algebra we construct the g...

Amplitude Inequalities for Differential Graded Modules

Differential Graded Algebras can be studied through their Differential Graded modules. Among these, the compact ones attract particular attention. This paper proves that over a suitable chain Differential Graded Algebra R, each compact Differential Graded module M satisfies ampM ≥ ampR, where amp denotes amplitude which is defined in a straightforward way in terms of the homology of a DG module...