Letterplace and co-letterplace ideals of posets

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• 作者：Gunnar Flø ; ystad^a ; ^nmagf@uib.no ; Bjø ; rn Mø ; ller Greve^b ; ^{Bjorn.Greve@uib.no} ; Jü ; rgen Herzog^c ; ^{juergen.herzog@gmail.com}
• 关键词：Primary ; 13F20 ; 05E40 ; secondary ; 06A11
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2017
• 出版时间：May 2017
• 年：2017
• 卷：221
• 期：5
• 页码：1218-1241
• 全文大小：559 K
• 卷排序：221

文摘

To a natural number n, a finite partially ordered set P   and a poset ideal JJ in the poset Hom(P,[n])Hom(P,[n]) of isotonian maps from P to the chain on n   elements, we associate two monomial ideals, the letterplace ideal L(n,P;J)L(n,P;J) and the co-letterplace ideal L(P,n;J)L(P,n;J). These ideals give a unified understanding of a number of ideals studied in monomial ideal theory in recent years. By cutting down these ideals by regular sequences of variable differences we obtain: multichain ideals and generalized Hibi type ideals, initial ideals of determinantal ideals, strongly stable ideals, d-partite d-uniform ideals, Ferrers ideals, edge ideals of cointerval d-hypergraphs, and uniform face ideals.