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Varieties Generated by Ordered Bands II

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Abstract

The lattice of all subvarieties of the variety generated by all ordered bands is obtained. This lattice is distributive and contains 78 varieties precisely. Each of these is finitely based and generated by a finite number of finite ordered bands.

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References

  1. Ghosh, S., Pastijn, F. and Zhao, X. Z.: Varieties generated by ordered bands I, order, to appear.

  2. Pastijn, F. and Zhao, X. Z.: Varieties of idempotent semirings with commutative addition, Algebra Universalis, to appear.

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  1. Department of Mathematics, Statistics, and Computer Science, Marquette University, P.O. Box 1881, , Milwaukee, WI, 53201-1881, USA

    F. Pastijn

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  1. F. Pastijn
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Correspondence to F. Pastijn.

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Pastijn, F. Varieties Generated by Ordered Bands II. Order 22, 129–143 (2005). https://doi.org/10.1007/s11083-005-9013-x

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  • DOI: https://doi.org/10.1007/s11083-005-9013-x

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