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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access July 26, 2011

Conditions for strong Morita equivalence of partially ordered semigroups

  • Lauri Tart EMAIL logo
From the journal Open Mathematics

Abstract

We investigate when a partially ordered semigroup (with various types of local units) is strongly Morita equivalent to a posemigroup from a given class of partially ordered semigroups. Necessary and sufficient conditions for such equivalence are obtained for a series of well-known classes of posemigroups. A number of sufficient conditions for several classes of naturally ordered posemigroups are also provided.

MSC: 06F05; 20M10

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Published Online: 2011-7-26
Published in Print: 2011-10-1

© 2011 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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