Title: Embedding dimension and codimension of tensor products of algebras over a field,
Abstract: Let k be a field. This paper investigates the embedding dimension and
codimension of Noetherian local rings arising as localizations of tensor
products of k-algebras. We use results and techniques from prime spectra and
dimension theory to establish an analogue of the "special chain theorem" for
the embedding dimension of tensor products, with effective consequence on the
transfer or defect of regularity as exhibited by the (embedding) codimension.