On p-minimal homological models of twisted tensor products of elementary complexes localised over a prime

Abstract

In this paper, working over Z(p) and using algebra perturbation results from [18], p-minimal homological models of twisted tensor products (TTPs) of Cartan’s elementary complexes are obtained. Moreover, making use of the notion of indecomposability of a TTP, we deduce that a homological model of a indecomposable p-minimal TTP of length ` (` 2) of exterior and divided power algebras is a tensor product of k-indecomposable (k `) p-minimal TTPs of exterior and divided power algebras.