Abstract
To find a “ description of the structure of bands which is complete modulo semilattices ” (from page 25 of [1]) seems to be a very difficult problem. As far as the author is aware, the only class of bands (except for rectangular bands) for which this problem has been solved (see [4] and [3]) is the class of all bands satisfying a generalization of commutativity, namely the condition that efgh = egfh for all elements e, f, g and h.
Publisher
Cambridge University Press (CUP)
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1. Further results in the theory of generalised inflations of semigroups;Semigroup Forum;2008-03-19
2. Lattice isomorphisms of orthodox semigroups;Bulletin of the Australian Mathematical Society;1992-04
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