Pavel Gvozdevsky - On countable isotypic structures

gcc:13493 - journal of Groups, complexity, cryptology, May 14, 2024, Volume 16, Issue 1
On countable isotypic structuresArticle

Authors: Pavel Gvozdevsky

    We obtain several results concerning the concept of isotypic structures. Namely we prove that any field of finite transcendence degree over a prime subfield is defined by types; then we construct isotypic but not isomorphic structures with countable underlying sets: totally ordered sets, fields, and groups. This answers an old question by B. Plotkin for groups.

    Volume: Volume 16, Issue 1
    Published on: May 14, 2024
    Submitted on: April 30, 2024
    Keywords: Mathematics - Logic,03C07(Primary) 03C60, 03C64 and 12L12(Secondary)

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