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JOURNAL OF
ALGEBRAIC
COMBINATORICS

  Editors-in-chief: C. A. Athanasiadis, T. Lam, A. Munemasa, H. Van Maldeghem
ISSN 0925-9899 (print) • ISSN 1572-9192 (electronic)
 

Radical of weakly ordered semigroup algebras

M. Schocker
York University, 4700 Keele St., Toronto, M3J1P3, Canada

DOI: 10.1007/s10801-008-0126-3

Abstract

We define the notion of weakly ordered semigroups. For this class of semigroups, we compute the radical of the semigroup algebras. This generalizes some results on left regular bands and on 0- Hecke algebras.

Pages: 231–234

Keywords: keywords weak order; left regular band; semigroup algebra; radical; Hecke algebra

Full Text: PDF

References

Brown, K.S.: Semigroups, rings, and Markov chains. J. Theor. Probab. 13, 871-938 (2000) Krob, D., Thibon, J.-Y.: Noncommutative symmetric functions, IV: quantum linear groups and Hecke algebras at $q=0$. J. Algebr. Comb. 6, 339-376 (1997) Norton, P.N.: 0-Hecke algebras. J. Austral. Math. Soc. Ser. A 27, 337-357 (1978)




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