Green's relations on ${\cal FP}^{+}(S_n)$ |
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| Author |
mazor@mechmat.univ.kiev.ua, mazor@mathematik.uni-bielefeld.de
Algebra, Mechanics and Mathematics Department, Kyiv Taras Shevchenko ,University, ,64 Volodymyrska st., 01033, Kyiv, Ukraine,
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| Abstract |
We describe the Green's relations and study the signature ideals on the semigroup ${\cal FP}^{+}(S_n)$.
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| Keywords |
Green's relations, signature ideals, semigroup
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| DOI |
doi:10.30970/ms.15.2.151-155
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Reference |
1. Ганюшкин О. Г., Мазорчук В. С. Фактор-степені півгруп перетворень, Доп. АН України (1993), № 12, 5–9.
2. Ganyushkin A. G., Mazorchuk V. S. Factor powers of finite symmetric groups, Math. Notes, 58 (1995), 794–802. 3. Ganyushkin A. G., Mazorchuk V. S. The structure of subsemigroups of factor powers of finite symmetric groups, Math. Notes, 58 (1995), 910–920. 4. Mazorchuk V. All automorphisms of ${\cal FP}^{+}(S_n)$ are inner, to appear in Semigroup Forum. 5. Plemmons R. J. and West M. T. On the semigroup of binary relations, Pacific J. Math., 35 (1970), 743–753. 6. Зарецкий К. А. Полугруппа бинарных отношений, Мат. сборник, 61 (1963), № 3, 291–305. |
| Pages |
151-155
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| Volume |
15
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| Issue |
2
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| Year |
2001
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| Journal |
Matematychni Studii
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