Finiteness conditions for matrix semigroups
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- by Yechezkel Zalcstein
- Proc. Amer. Math. Soc. 38 (1973), 247-249
- DOI: https://doi.org/10.1090/S0002-9939-1973-0310094-3
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Abstract:
Classical theorems of Schur and Burnside on finiteness of matrix groups are generalized to regular and inverse matrix semigroups.References
- A. H. Clifford and G. B. Preston, The algebraic theory of semigroups. Vols. 1, 2, Math. Surveys, no. 7, Amer. Math. Soc., Providence, R.I., 1961, 1967. MR 24 #A2627; MR 36 #1558.
- Michel Coudrain and Marcel-Paul Schützenberger, Une condition de finitude des monoïdes finiment engendrés, C. R. Acad. Sci. Paris Sér. A-B 262 (1966), A1149–A1151 (French). MR 194532
- Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0144979
- Yechezkel Zalcstein, Studies in the representation theory of finite semigroups, Trans. Amer. Math. Soc. 161 (1971), 71–87. MR 283104, DOI 10.1090/S0002-9947-1971-0283104-2
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 247-249
- DOI: https://doi.org/10.1090/S0002-9939-1973-0310094-3
- MathSciNet review: 0310094