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Decidability of the representation extension property for finite semigroups
Author(s):
Kunitaka
Shoji
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1313-1317.
MSC (1991):
Primary 20M10
Posted:
February 7, 2000
MathSciNet review:
1706977
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Abstract:
We prove that the decision problem of whether or not a finite semigroup has the representation extension property is decidable.
References:
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The injective envelope of  -sets, Canad. Math. Bull., 10(1967), 261-273. MR 35:4321 - [2]
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Absolutely flat semigroups,
Pacific J. Math. 107(1983), 319-333. MR 85e:20056 - [3]
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Ph.D thesis, Tulane University, 1957. - [7]
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preprint. - [8]
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Math. Japonicae, 26(1990), 43-53. MR 91m:20090
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Additional Information:
Kunitaka
Shoji
Affiliation:
Department of Mathematics, Shimane University, Matsue, Shimane, 690-8503 Japan
Email:
ksho@math.shimane-u.ac.jp
DOI:
10.1090/S0002-9939-00-05624-0
PII:
S 0002-9939(00)05624-0
Keywords:
Finite semigroup,
representation extension property,
algorithm,
decidability
Received by editor(s):
July 1, 1998
Posted:
February 7, 2000
Additional Notes:
This work was done while the author was visiting the University of Nebraska, Lincoln. He thanks the Department of Mathematics, UNL for their kind hospitality.
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
2000,
American Mathematical Society
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