Abstract
It is well known that rings are the objects of a bicategory, whose arrows are bimodules, composed through the bimodule tensor product. We give an analogous bicategorical description of m-regular involutive quantales. The upshot is that known definition of Morita equivalence for this case amounts to isomorphism of objects in the pertinent bicategory.
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Paseka, J. The Bicategory of m-regular Involutive Quantales. International Journal of Theoretical Physics 43, 1667–1674 (2004). https://doi.org/10.1023/B:IJTP.0000048812.93670.61
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DOI: https://doi.org/10.1023/B:IJTP.0000048812.93670.61