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We show that semigroups representable by triangular matrices over a fixed finite field form a decidable pseudovariety and provide a finite pseudoidentity basis for it.
@article{ITA_2005__39_1_31_0,
author = {Almeida, Jorge and Margolis, Stuart W. and Volkov, Mikhail V.},
title = {The pseudovariety of semigroups of triangular matrices over a finite field},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {31--48},
publisher = {EDP-Sciences},
volume = {39},
number = {1},
year = {2005},
doi = {10.1051/ita:2005002},
mrnumber = {2132577},
zbl = {1086.20029},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2005002/}
}
TY - JOUR AU - Almeida, Jorge AU - Margolis, Stuart W. AU - Volkov, Mikhail V. TI - The pseudovariety of semigroups of triangular matrices over a finite field JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2005 SP - 31 EP - 48 VL - 39 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ita:2005002/ DO - 10.1051/ita:2005002 LA - en ID - ITA_2005__39_1_31_0 ER -
%0 Journal Article %A Almeida, Jorge %A Margolis, Stuart W. %A Volkov, Mikhail V. %T The pseudovariety of semigroups of triangular matrices over a finite field %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2005 %P 31-48 %V 39 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ita:2005002/ %R 10.1051/ita:2005002 %G en %F ITA_2005__39_1_31_0
Almeida, Jorge; Margolis, Stuart W.; Volkov, Mikhail V. The pseudovariety of semigroups of triangular matrices over a finite field. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 39 (2005) no. 1, pp. 31-48. doi: 10.1051/ita:2005002
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