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On representations of variants of semigroups

Published online by Cambridge University Press:  17 April 2009

Ganna Kudryavtseva
Affiliation:
Algebra, Department of Mathematics and Mechanics, Kyiv Taras Shevchenko University, 64 Volodymyrska St., 01033 Kyiv, Ukraine e-mail: akudr@univ.kiev.ua, vmaltcev@univ.kiev.ua
Victor Maltcev
Affiliation:
Algebra, Department of Mathematics and Mechanics, Kyiv Taras Shevchenko University, 64 Volodymyrska St., 01033 Kyiv, Ukraine e-mail: akudr@univ.kiev.ua, vmaltcev@univ.kiev.ua
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We construct a family of representations of an arbitrary variant Sa of a semigroup S, induced by a given representation of S, and investigate properties of such representations and their kernels.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2006

References

[1]Clifford, A.H. and Preston, G.B., The algebraic theory of semigroups, Mathematical Surveys 7 (American Mathematical Society, Providence, R.I., 1961, 1967).Google Scholar
[2]Hickey, J., ‘Semigroups under a sandwich operation’, Proc. Edinburgh Math. Soc. 26 (1983), 371382.CrossRefGoogle Scholar
[3]Hickey, J., ‘On variants of a semigroup’, Bull. Austral. Math. Soc. 34 (1986), 447459.CrossRefGoogle Scholar
[4]Higgins, P., Techniques of semigroup theory (Oxford University Press, New York, 1992).CrossRefGoogle Scholar
[5]Khan, T. and Lawson, M., ‘Variants of regular semigroups’, Semigroup Forum 62 (2001), 358374.CrossRefGoogle Scholar
[6]Magill, K., Misra, P. and Tewari, U., ‘Symons' d-congruence on sandwich semigroups’, Czechslovak Math. J. 33 (1983), 221236.CrossRefGoogle Scholar
[7]Petrich, M., Inverse semigroups (John Wiley & Sons, 1984).Google Scholar
[8]Symons, J., ‘On a generalization of the transformation semigroups’, J. Austral. Math. Soc. 19 (1975), 4761.CrossRefGoogle Scholar