The Bicategory of m-regular Involutive Quantales

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Authors	PASEKA Jan
Year of publication	2004
Type	Article in Periodical
Magazine / Source	International Journal of Theoretical Physics
MU Faculty or unit	Faculty of Science
Citation
Web	http://dx.doi.org/10.1023/B:IJTP.0000048812.93670.61
Field	General mathematics
Keywords	bicategory; bimodules; bimodule tensor product; m-regular involutive quantale; Morita equivalence
Description	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.
Related projects:	Categorical methods of the theory of structures and computer science Mathematical structures of algebra and geometry