Wide right Morita contexts in lax-unital bicategories | Zendy

Ülo Reimaa | Zendy

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Wide right Morita contexts in lax-unital bicategories

Author(s) -

Ülo Reimaa

Publication year - 2016

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2016.20.06

Subject(s) - unital , morita therapy , mathematics , context (archaeology) , morita equivalence , pure mathematics , algebra over a field , paleontology , biology

The classical result in the theory of unital rings that the maps of a Morita context are isomorphisms when they are epimorphisms can be proven in the general setting of wide right Morita contexts in bicategories. There exists a similar result for non-unital rings, but bicategories are not general enough to handle that case. In this paper, we use the more general lax-unital bicategories to prove a version of the result and study some related questions.

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