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Title: Decompositions of the state space, homomorphisms and products of semigroup acts (English)
Author: Sikdar, Kripasindhu
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 24
Issue: 4
Year: 1974
Pages: 511-521
Summary lang: English
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Category: math
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MSC: 22A99
idZBL: Zbl 0324.54021
idMR: MR0357676
DOI: 10.21136/CMJ.1974.101270
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Date available: 2008-06-09T14:09:03Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101270
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Reference: [1] J. T. Borrego, E. E. De Vun: Maximal semigroup orbits.to appear.
Reference: [2] J. T. Borrego: Compact actions.Froc. 2nd. Fl. Symp. on Automata and Semigroups, Part I (1971), University of Florida.
Reference: [3] N. Bourbaki: General Topology.Part I, Addison Wesley Publishing Company, 1966. Zbl 0301.54002
Reference: [4] J. M. Day: Semigroup acts, algebraic and topological.Proc. 2nd. Fl. Symp. on Automata and Semigroups, Part I (1971), University of Florida.
Reference: [5] J. M. Day, A. D. Wallace: Semigroups acting on continua.J. Austr. Math. Soc. VII (1967), 327-340. Zbl 0158.41703, MR 0217212, 10.1017/S1446788700004171
Reference: [6] J. M. Day, A. D. Wallace: Multiplication induced in the state-space of an act.Math. Systems Theory I (1967), 305-314. Zbl 0153.34702, MR 0222870
Reference: [7] С. F. Keleman: Transitive semigroup actions.Тг. Amer. Math. Soc. 146 (1969), 369-375. MR 0251708, 10.1090/S0002-9947-1969-0251708-X
Reference: [8] Y. F. Lin: On input semigroups of automata.Math. Systems Theory, 4 (1970), 35 - 39. Zbl 0188.33201, MR 0300804, 10.1007/BF01705883
Reference: [9] A. B. Paalman-de Miranda: Topological semigroups.Mathematisch Centrum, Amsterdam, 2nd Ed., 1970. Zbl 0242.22003
Reference: [10] K. Sikdar: Some remarks on semigroups actions and decompositions of the state space.Indian Statistical Institute Tech. Report. Math. Stat. (20) 71, 11 August, 1971. Read at the 37th Annual Conference of the Indian Math. Society.
Reference: [11] D. Stadlander: Semigroup actions and dimension.Acq. Math. 3 (1969), 1 - 14. MR 0251707
Reference: [12] D. Stadlander: Semigroup actions on topological spaces.Ph. D. Thesis, Penn. St. University 1966.
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