Abstract
In this paper we observe that important ideals like prime ideals, nil ideals, nilpotent ideals, primary ideals etc. remain invariant under strong Morita equivalence of semigroups with weak local units. As a consequence, some radicals and important properties are found to be invariant. Finally, lattice isomorphisms between the set of all ideals and the set of all sub-biacts corresponding to a Morita context of the said class of semigroups are established.
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Acknowledgments
We are thankful to Prof. Valdis Laan and Prof. László Márki as well as to the learned referee for their meticulous review and subsequent valuable remarks, suggestions and necessary corrections in order to improve the paper in presentation and content. The second author is grateful to the University Grants Commission, Govt. of India, for providing research support as SRF.
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Communicated by László Márki.
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Sardar, S.K., Gupta, S. A note on Morita invariants of semigroups. Semigroup Forum 92, 71–76 (2016). https://doi.org/10.1007/s00233-014-9682-0
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DOI: https://doi.org/10.1007/s00233-014-9682-0