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.
@article{bwmeta1.element.doi-10_2478_s11533-011-0053-8,
author = {Lauri Tart},
title = {Conditions for strong Morita equivalence of partially ordered semigroups},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {1100-1113},
zbl = {1261.06019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0053-8}
}
Lauri Tart. Conditions for strong Morita equivalence of partially ordered semigroups. Open Mathematics, Tome 9 (2011) pp. 1100-1113. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0053-8/
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