J. Herzog, G. Zhu, “Sortable Freiman Ideals”, Mat. Zametki, 2020, Volume 107, Issue 6,Pages <nobr>916

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Papers published in the English version of the journal

Sortable Freiman Ideals

J. Herzog^a, G. Zhu^b

^a Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, Essen, 45117 Germany
^b Department of Mathematics, Suzhou University, Suzhou, 215006 China

Abstract: In this paper, it is shown that a sortable ideal $I$ is Freiman if and only if its sorted graph is chordal. This characterization is used to give a complete classification of Freiman principal Borel ideals and of Freiman Veronese-type ideals with constant bound.

Keywords: Freiman ideal, sorted ideal, principal Borel ideal, Veronese-type ideals with constant bound.

Received: 10.07.2019

Language: English