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Endomorphisms of finite full transformation semigroups
Author(s):
Boris
M.
Schein;
Beimnet
Teclezghi
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2579-2587.
MSC (1991):
Primary 20M20;
Secondary 03G25, 05A15
MathSciNet review:
1487338
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Abstract:
We describe all endomorphisms of finite full transformation semigroups and count their number.
References:
- 1.
- Clifford, A. H., and G. B. Preston, ``The Algebraic Theory of Semigroups," Volume II, American Mathematical Society, Providence, R. I., 1967 MR 36:1558
- 2.
- [M. A. Evgrafov, ``Asymptotic Estimates and Entire Functions," 3d edition, revised and augmented, Nauka, Moscow, 1979; English translation of the 1st edition was published by Gordon and Breach, New York, 1961] MR 81b:30048; MR 31:1376
- 3.
- Harris, B. and L. Schoenfeld, The number of idempotent elements in symmetric semigroups, Journal of Combinatorial Theory 3(1967),=0pt no. 2, 122-135; Erratum, ibidem 5(1968), no. 1, 104 MR 35:2754; MR 37:1492
- 4.
- Schreier, J., Über Abbildungen einer abstrakten Menge auf ihre Teilmengen, Fundamenta Mathematic'032 28(1936), 261-264
- 5.
- Tainiter, M., A characterization of idempotents in semigroups, Journal of Combinatorial Theory 5(1968), no. 4, 370-373 MR 38:1197
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Additional Information:
Boris
M.
Schein
Affiliation:
Department of Mathematical Sciences, University of Arkansas, SCEN--307, Fayetteville, Arkansas 72701
Email:
bschein@comp.uark.edu
Beimnet
Teclezghi
Affiliation:
Division of Sciences, Jarvis College, Hawkins, Texas 75765
Email:
teclezghi@jarvis.edu
DOI:
10.1090/S0002-9939-98-04764-9
PII:
S 0002-9939(98)04764-9
Received by editor(s):
February 12, 1997
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
1998,
American Mathematical Society
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