Geodesic
Regular Cryptic Super $r$-Ample Semigroups
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 4 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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By utilizing the $(*, \sim)$-Green's relations and quasi-strong semilattice of semigroups, we show that a super $r$-ample semigroup is a regular cryptic super $r$-ample semigroup if and only if it is a quasi-strong semilattice of completely ${\mathcal{ J}^{*,\sim}}$-simple semigroups. This result can be regarded as a generalized result of M. Petrich on normal cryptogroups and regular cryptogroups within the class of regular semigroups to the class of $r$-ample semigroups.
Classification : 20M10. 
@article{BMMS_2012_35_4_a2,
     author = {Kong Xiang-Zhi and Kar Ping Shum},
     title = {Regular {Cryptic} {Super} $r${-Ample} {Semigroups}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2012},
     volume = {35},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_4_a2/}
}
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AU  - Kar Ping Shum
TI  - Regular Cryptic Super $r$-Ample Semigroups
JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2012
VL  - 35
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/BMMS_2012_35_4_a2/
ID  - BMMS_2012_35_4_a2
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%J Bulletin of the Malaysian Mathematical Society
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%N 4
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%F BMMS_2012_35_4_a2
Kong Xiang-Zhi; Kar Ping Shum. Regular Cryptic Super $r$-Ample Semigroups. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2012_35_4_a2/