Abstract
For a group G and a poset X, we say that X is a G-poset if it is equipped with a G-action that is monotone. If we consider the mononote G-equivariant maps as morphisms, then we get the category of G-posets. We give a description of the projective objects, injective objects, quotients, and generators.
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Presented by J. Adámek.
This article is dedicated to my mother María Fé and my sister Mitzy.
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Murphy-Hernandez, F. The category of G-posets. Algebra Univers. 81, 38 (2020). https://doi.org/10.1007/s00012-020-00669-3
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DOI: https://doi.org/10.1007/s00012-020-00669-3