Free completely J ( ℓ )-simple Semigroups

Verfasser / Beitragende:
[Jun Guo, Xiao Guo, Juan Ding]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/7(2015-07-01), 1086-1096
Format:
Artikel (online)
ID: 605461341
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024 7 0 |a 10.1007/s10114-015-4117-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4117-8 
245 0 0 |a Free completely J ( ℓ )-simple Semigroups  |h [Elektronische Daten]  |c [Jun Guo, Xiao Guo, Juan Ding] 
520 3 |a 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. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Strongly rpp semigroup  |2 nationallicence 
690 7 |a free semigroup  |2 nationallicence 
690 7 |a completely J ( ℓ )-simple semigroup  |2 nationallicence 
690 7 |a quasivariety  |2 nationallicence 
700 1 |a Guo  |D Jun  |u Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China  |4 aut 
700 1 |a Guo  |D Xiao  |u Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China  |4 aut 
700 1 |a Ding  |D Juan  |u Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/7(2015-07-01), 1086-1096  |x 1439-8516  |q 31:7<1086  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4117-8  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4117-8  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Guo  |D Jun  |u Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Guo  |D Xiao  |u Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ding  |D Juan  |u Department of Mathematics, Jiangxi Normal University, 330022, Nanchang, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/7(2015-07-01), 1086-1096  |x 1439-8516  |q 31:7<1086  |1 2015  |2 31  |o 10114