caa a22 4500 605461341 CHVBK 20210128100243.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10114-015-4117-8 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4117-8 Free completely J ( ℓ )-simple Semigroups [Elektronische Daten] [Jun Guo, Xiao Guo, Juan Ding] A semigroup is called completely J (ℓ) -simple if it is isomorphic to some Rees matrix semigroup over a left cancellative monoid and each entry of whose sandwich matrix is in the group of units of the left cancellative monoid. It is proved that completely J (ℓ)-simple semigroups form a quasivarity. Moreover, the construction of free completely J (ℓ)-simple semigroups is given. It is found that a free completely J (ℓ)-simple semigroup is just a free completely J*-simple semigroup and also a full subsemigroup of some completely simple semigroups. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Strongly rpp semigroup nationallicence free semigroup nationallicence completely J ( ℓ )-simple semigroup nationallicence quasivariety nationallicence Guo Jun Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China aut Guo Xiao Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China aut Ding Juan Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/7(2015-07-01), 1086-1096 1439-8516 31:7<1086 2015 31 10114 https://doi.org/10.1007/s10114-015-4117-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4117-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Guo Jun Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China aut NATIONALLICENCE 700 1- Guo Xiao Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China aut NATIONALLICENCE 700 1- Ding Juan Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/7(2015-07-01), 1086-1096 1439-8516 31:7<1086 2015 31 10114