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This paper is mainly dedicated to the description of coregular subsemigroups of the symmetric semigroup Tn of transformations on an n-element set. Namely, we characterize all coregular transformation semigroups S with (…). In the subsemigroup En of all extensive transformations, the coregular elements coincide with the idempotent ones. We characterize all bands within En. Within the subsemigroup OEn of all order-preserving extensive transformations, we also determine the maximal bands (with respect to the inclusion).
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Rocznik
Tom
Strony
739--753
Opis fizyczny
Bibliogr. 9 poz.
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autor
autor
- Faculty Of Mathematics And Natural Science South-West University "Neofit Rilski" Blagoevgrad, 2700, Bulgaria, ilinka_dimitrova@yahoo.com
Bibliografia
- [1] G. Bijev, Some applications of semigroups and computer algebra in matrix theory, AIP Conference Proc. 946 (2007), 263–270.
- [2] G. Bijev, K. Todorov, Coregular semigroups, Notes on Semigroups VI, Budapest (1980–1984), 1–11.
- [3] G. Bijev, K. Todorov, On the representation of abstract semigroups by transformation semigroups: computer investigations, Semigroup Forum 43 (1991), 253–256.
- [4] J. Chvalina, K. Motoushkova, Coregularity of endomorphism monoid of unars, Arch. Math. 20 (1984), 43–48.
- [5] W. Edmond, H. Lee, Hereditarily finitly based monoids of extensive transformations, Algebra Universalis 61 (2009), 31–58.
- [6] J. M. Howie, Fundamentals of Semigroup Theory, Oxford University Press, 1995.
- [7] E. H. Moore, On the reciprocal of the general algebraic matrix, Bull. Amer. Math. Soc. 26 (1920), 394–395.
- [8] K. Todorov, On the antiinverse an coregular semigroups and some their applications, Filomat 9(3) (1995), 947–959.
- [9] M. V. Volkov, Reflexive relations, extensive transformations and piecewise testasble languages of a given height , Internat. J. Algebra Comput. 14 (2004), 817–827.
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Bibliografia
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bwmeta1.element.baztech-article-PWA4-0033-0028