@UNPUBLISHED{publication1, title = "Bases for pseudovarieties closed under bideterministic product", author = "{COSTA, Alfredo} and {ESCADA, Ana Paula}", year = "2019-02-27", abstract = " We show that if V is a semigroup pseudovariety containing the finite semilattices and contained in DS, then it has a basis of pseudoidentities between finite products of regular pseudowords if, and only if, the corresponding variety of languages is closed under bideterministic product. The key to this equivalence is a weak generalization of the existence and uniqueness of J-reduced factorizations. This equational approach is used to address the locality of some pseudovarieties. In particular, it is shown that DH \∩ ECom is local, for any group pseudovariety H. ", url = "http://www.mat.uc.pt/preprints/eng\_2019.html", note = "" }