Open AccessEquational noethericity for graphs and hypergraphs
Author(s) -
Alexander Treier
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1791/1/012088
Subject(s) - combinatorics , mathematics , group (periodic table) , variable (mathematics) , discrete mathematics , physics , mathematical analysis , quantum mechanics
In 1999th G. Baumslag, A. Miasnikov and V. Remeslennikov posted the following problem. Let G be a group. Does a noethericity by equations in one variable imply a nothericity by equations for the group G in the language with constants from G ? Same question may be asked for graphs and hypergraphs. It is shown in the article that the answer to the question above is positive for graphs and is negative for hypergraphs.