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- W2012079346 abstract "We prove that the pseudovariety DS, of all finite monoids, each of whose regular D-classes is a subsemigroup, is local. (A pseudovariety (or variety) V is local if any category whose local monoids belong to V divides a member of V.) The proof uses the “kernel theorem” of the first author and Pustejovsky together with the description by Weil of DS as an iterated “block product”. The one-sided analogues of these methods provide wide new classes of local pseudovarieties of completely regular monoids. We conclude, however, with the second author's example of a variety (and a pseudovariety) of completely regular monoids that is not local." @default.
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- W2012079346 date "1995-11-01" @default.
- W2012079346 modified "2023-10-16" @default.
- W2012079346 title "Locality of DS and associated varieties" @default.
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- W2012079346 doi "https://doi.org/10.1016/0022-4049(94)00054-9" @default.
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