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Characterizations of strong Morita equivalence for ordered semigroups with local units

In: Mathematica Slovaca, vol. 64, no. 4
Lauri Tart
Detaily:
Rok, strany: 2014, 789 - 808
Kľúčové slová:
ordered semigroup, Morita equivalence, Rees matrix cover
O článku:
We prove that partially ordered semigroups $S$ and $T$ with local units are strongly Morita equivalent if and only if there exists a surjective strict local isomorphism to $T$ from a factorizable Rees matrix posemigroup over $S$. We also provide two similar descriptions which use Cauchy completions and Morita posemigroups instead.
Ako citovať:
ISO 690:
Tart, L. 2014. Characterizations of strong Morita equivalence for ordered semigroups with local units. In Mathematica Slovaca, vol. 64, no.4, pp. 789-808. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0240-8

APA:
Tart, L. (2014). Characterizations of strong Morita equivalence for ordered semigroups with local units. Mathematica Slovaca, 64(4), 789-808. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0240-8
O vydaní:
Publikované: 1. 8. 2014