2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229472Let R be a commutative local noetherian ring. We prove that the existence of a chain of semidualizing R-complexes of length (d+1) yields a degree-d polynomial lower bound for the Bass numbers of R. We also show how information about certain Bass numbers of R provide restrictions on the lengths of chains of semidualizing R-complexes. To make this article somewhat self-contained, we also include a survey of some of the basic properties of semidualizing modules, semidualizing complexes and derived categories.28 pages, uses xy-pic; v.2 incorporates minor changes throughout, and discussions of semidualizing objects over non-local rings; v. 3 fixes errors in Theorem C and Theorem 4.2; final version to appear in Proceedings for Fifth International Fez Conference on Commutative Algebra and ApplicationsCommutative Algebra13D02, 13D05, 13D07, 13D25text