On sortable intervals of monomials

Autor: Bonanzinga Vittoria, Eliahou Shalom
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 24, Iss 2, Pp 87-104 (2016)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.1515/auom-2016-0029
Popis: In 1996, in his study of Gröbner bases of toric ideals, Sturmfels introduced a sorting operator on pairs of monomials of degree d in n variables. This gave rise to the notion of sortable sets, namely sets B of monomials of degree d such that B×B is preserved by that operator. In this paper, we determine all lex-intervals or revlex-intervals of monomials which are sortable. The solution involves the notion of greatest common prefix.
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