Geodesic
Almost commutative bands
Glasgow mathematical journal, Tome 13 (1972) no. 2, pp. 176-178

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Hall, T. E. Almost commutative bands. Glasgow mathematical journal, Tome 13 (1972) no. 2, pp. 176-178. doi: 10.1017/S0017089500001622
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[2] 2.Hall, T. E., Orthodox semigroups, Pacific J. Math. 39 (1971), 677–686. Google Scholar | DOI

[3] 3.Howie, J. M., Naturally ordered bands, Glasgow Math. J. 8 (1967), 55–58. Google Scholar | DOI

[4] 4.Kimura, N. and Yamada, M., Note on idempotent semigroups II, Proc. Japan Acad. 34 (1958), 110–112. Google Scholar

[5] 5.Pippey, J., Some structure theorems for bands, Honours year thesis (1969), Monash University. Google Scholar

[6] 6.Yamada, M., On a regular semigroup in which the idempotents form a band, Pacific J. Math. 33 (1970), 261–272. Google Scholar | DOI

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