J. Almedia, S. Margolis, B. Steinberg, and M. Volkov, Representation theory of finite semigroups, semigroup radicals and formal language theory, Transactions of the American Mathematical Society, vol.361, issue.03, pp.1429-1461, 2009.
DOI : 10.1090/S0002-9947-08-04712-0

D. J. Benson, Representations and cohomology. I, volume 30 of Cambridge Studies in Advanced Mathematics Basic representation theory of finite groups and associative algebras, 1998.
DOI : 10.1017/cbo9780511623622

C. Berg, N. Bergeron, S. Bhargava, and F. Saliola, Primitive orthogonal idempotents for R-trivial monoids. ArXiv e-prints, 2010.
DOI : 10.1016/j.jalgebra.2011.10.006

URL : https://hal.archives-ouvertes.fr/hal-01215086

M. Bremner, How to compute the wedderburn decomposition of a finite-dimensional associative algebra. ArXiv e-prints, 2010. preprint arXiv:1008, 20061.

K. Brown, Semigroups, rings, and Markov chains, Journal of Theoretical Probability, vol.13, issue.3, pp.871-938, 2000.
DOI : 10.1023/A:1007822931408

T. Denton, A combinatorial formula for orthogonal idempotents in the 0-Hecke algebra of S N, DMTCS proc, issue.01, pp.701-712, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01186249

T. Denton, A combinatorial formula for orthogonal idempotents in the 0-Hecke algebra of the symmetric group. ArXiv e-prints, 2010.

T. Denton, F. Hivert, A. Schilling, and N. M. Thiéry, On the representation theory of finite J-trivial monoids, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00632265

P. Norton, 0-Hecke algebras, 10] J.-´ E. Pin. Mathematical Foundations of Automata Theory, pp.337-57, 1979.
DOI : 10.1016/0021-8693(68)90022-7

F. Saliola, THE QUIVER OF THE SEMIGROUP ALGEBRA OF A LEFT REGULAR BAND, International Journal of Algebra and Computation, vol.17, issue.08, pp.1593-1610, 2007.
DOI : 10.1142/S0218196707004219

M. Schocker, Radical of weakly ordered semigroup algebras, Journal of Algebraic Combinatorics, vol.27, issue.1, pp.231-234, 2008.
DOI : 10.1007/s10801-008-0126-3

M. P. Schützenberger, Sur Le Produit De Concatenation Non Ambigu, Semigroup Forum, vol.7, issue.1, pp.47-7577, 1976.
DOI : 10.1007/BF02194921

W. A. Stein, The Sage Development Team, Sage Mathematics Software, 2010.

B. Steinberg, Email communications, 2010.