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An Order-Theoretical Characterization of Varieties of Bands

Published online by Cambridge University Press:  20 November 2018

August Mistlb Acher
August Mistlb Acher*
Affiliation:
Mathematisches Institut der Universität Wien, A-1090 Wien, Strudlhofgasse 4, Austria
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Abstract

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We give a description of band varieties by properties of the compatibility of certain quasi-orders λn and ρn.

Keywords

20M07
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 3 , 01 September 1991 , pp. 368 - 374
Copyright
Copyright © Canadian Mathematical Society 1991

References

1. Birjukov, A. P. (1970), Varieties of idempotent semigroups, Algebra i Logika 9 (1970), 255–273 (Russian).Google Scholar
2. Gerhard, J. A. (1970), The lattice of equational classes of idempotent semigroups, J. Algebra 15(1970), 195–224.Google Scholar
3. Gerhard, J. A. and M. Petrich (1987a), Varieties of bands revisited, Proc. London Math. Soc. 58 (1989), 323–350. 4 (1987b), Certain characterizations of varieties of bands, Proc. Edinburgh Math. Soc. 31 (1988), 301–319.Google Scholar
5. Nambooripad, K. S. S. (1980), The natural partial order on a regular semigroup, Proc. Edinburgh Math. Soc. 23 (1980), 249–260.Google Scholar
6. Petrich, M. (1974), The structure of completely regular semigroups, Trans. American Math. Soc. 189 (1974), 211–236.Google Scholar
7. Petrich, M. (1977), Lectures in semigroups. Akademie-Verlag, Berlin, 1977.Google Scholar