On subcategories closed under predecessors and the representation dimension

Let Λ   be an artin algebra, AA and CC be full subcategories of the category of finitely generated Λ-modules consisting of indecomposable modules and closed under predecessors and successors respectively. In this paper we relate, under various hypotheses, the representation dimension of Λ   to those of the left support algebra of AA and the right support algebra of CC. Our results are then applied to the classes of laura algebras, ada algebras and Nakayama oriented pullbacks.