Geodesic
Free bands and free *-bands
Glasgow mathematical journal, Tome 28 (1986) no. 2, pp. 161-179

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

The word problem for free bands (idempotent semigroups) was solved by Green and Rees [4] in an early paper. They also established certain properties of the free band. This was followed by McLean [6] who provided a general structure theory for bands with some indication as to the structure of the free band. Since then a great many papers have appeared dealing with various aspects of the topic of bands and their varieties. A different solution of the word problem for free bands was recently given by Siekmann and Szabó [9]. For a discussion of bands, see the books [5] and [8]. 
Gerhard, J. A.; Petrich, Mario. Free bands and free *-bands. Glasgow mathematical journal, Tome 28 (1986) no. 2, pp. 161-179. doi: 10.1017/S0017089500006480
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[1] 1.Adair, C. L., Bands with involution, J. Algebra 75 (1982), 297–314. Google Scholar | DOI

[2] 2.Gerhard, J. A. and Petrich, M., The word problem for orthogroups, Canad. J. Math. 33 (1981), 893–900. Google Scholar | DOI

[3] 3.Gerhard, J. A. and Petrich, M., Free involutorial completely simple semigroups, Canad. J. Math. 37 (1985), 271–295. Google Scholar | DOI

[4] 4.Green, J. A. and Rees, D., On semi-groups in which xr = x, Proc. Cambridge Phil. Soc. 48 (1952), 35–40. Google Scholar | DOI

[5] 5.Howie, J. M., An introduction to semigroup theory, (Academic Press, 1976). Google Scholar

[6] 6.McLean, D., Idempotent semigroups, Amer. Math. Monthly 61 (1954), 110–113. Google Scholar | DOI

[7] 7.Nordahl, T. E. and Scheiblich, H. E., Regular *-semigroups, Semigroup Forum 16 (1978), 369–377. Google Scholar | DOI

[8] 8.Petrich, M., Lectures in semigroups, (Akademie-Verlag, 1977). Google Scholar | DOI

[9] 9.Siekmann, J. and Szabó, P., A noetherian and confluent rewrite system for idempotent semigroups, Semigroup Forum 25 (1982), 83–110. Google Scholar | DOI

[10] 10.Yamada, M., Finitely generated free *-bands, Semigroup Forum 29 (1984), 13–16. Google Scholar | DOI

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