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https://open.uns.ac.rs/handle/123456789/3194
Title: | Condensational equivalence, equimorphism, elementary equivalence and similar similarities | Authors: | Kurilić, Miloš Morača, Nenad |
Issue Date: | 1-Jun-2017 | Journal: | Annals of Pure and Applied Logic | Abstract: | © 2016 Elsevier B.V. We investigate the interplay between several similarities of relational structures: the condensational equivalence (defined by X∼cY iff there are bijective homomorphisms f:X→Y and g:Y→X), the isomorphism, the equimorphism (bi-embedability), the elementary equivalence and the similarities of structures determined by some similarities of their self-embedding monoids. It turns out that the Hasse diagram describing the hierarchy of these equivalence relations restricted to the set ModL(κ) of all L-structures of size κ collapses significantly for a finite cardinal κ or for a unary language L, while for infinite structures of non-unary languages we have a large diversity. | URI: | https://open.uns.ac.rs/handle/123456789/3194 | ISSN: | 01680072 | DOI: | 10.1016/j.apal.2016.12.001 |
Appears in Collections: | PMF Publikacije/Publications |
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