Abstract
We present a framework which allows a uniform approach to the recently introduced concept of pseudo-repetitions on words in the morphic case. This framework is at the same time more general and simpler.
We introduce the concept of a pseudo-solution and a pseudo-rank of an equation. In particular, this allows to prove that if a classical equation forces periodicity then it also forces pseudo-periodicity.
Consequently, there is no need to investigate generalizations of important equations one by one. (C) 2020 Elsevier B.V. All rights reserved.