Conditions for strong Morita equivalence of partially ordered semigroups |
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| Authors: | Lauri Tart |
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| Affiliation: | 1.Institute of Mathematics, Faculty of Mathematics and Computer Science,University of Tartu,Tartu,Estonia |
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| 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. |
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