Free completely J ( ℓ )-simple Semigroups
Gespeichert in:
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)
Online Zugang:
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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 | ||