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semigroup; normal cryptogroup; associate subgroup; representation; strong semilattice of semigroups; Rees matrix semigroup

References:

[1] Blyth, T. S., Martins, P. M.: **On associate subgroups of regular semigroups**. Commun. Algebra 25 (1997), 2147-2156. DOI 10.1080/00927879708825979 | MR 1451685 | Zbl 0880.20048

[2] Martins, P. M., Petrich, M.: **Unary semigroups with an associate subgroup**. Commun. Algebra 36 (2008), 1999-2013. DOI 10.1080/00927870801947306 | MR 2418372 | Zbl 1146.20041

[3] Petrich, M.: **The existence of an associate subgroup in normal cryptogroups**. Publ. Math. Debrecen 73 (2008), 281-298. MR 2466374 | Zbl 1181.20051

[4] Petrich, M., Reilly, N. R.: **Completely Regular Semigroups**. Canadian Mathematical Society Series of Monographs and Advanced Texts 23 John Wiley & Sons, New York (1999). MR 1684919 | Zbl 0967.20034