Regularity of powers of Stanley–Reisner ideals of one‐dimensional simplicial complexes
نویسندگان
چکیده
Abstract Let Δ be a one‐dimensional simplicial complex. the Stanley–Reisner ideal of Δ. We prove that for all and intermediate ideals J generated by some minimal generators , we have
منابع مشابه
An upper bound for the regularity of powers of edge ideals
A recent result due to Ha and Van Tuyl proved that the Castelnuovo-Mumford regularity of the quotient ring $R/I(G)$ is at most matching number of $G$, denoted by match$(G)$. In this paper, we provide a generalization of this result for powers of edge ideals. More precisely, we show that for every graph $G$ and every $sgeq 1$, $${rm reg}( R/ I(G)^{s})leq (2s-1) |E(G)|^{s-1} {rm ma...
متن کاملA remark on regularity of powers and products of ideals
Article history: Received 7 October 2016 Received in revised form 16 January 2017 Available online xxxx Communicated by S. Iyengar To the memory of our friend Tony Geramita MSC: 13D02; 13D40 We give a simple proof for the fact that the Castelnuovo–Mumford regularity and related invariants of products of powers of ideals are asymptotically linear in the exponents, provided that each ideal is gen...
متن کاملRegularity of second power of edge ideals
Let G be a graph with edge ideal I(G). Benerjee and Nevo proved that for every graph G, the inequality reg(I(G)2)≤reg(I(G))+2 holds. We provide an alternative proof for this result.
متن کاملPowers of Ideals: Primary Decompositions, Artin-Rees Lemma and Regularity
The regularity part follows from the primary decompositions part, so the heart of this paper is the analysis of the primary decompositions. In [S], this was proved for the primary components of height at most one over the ideal. This paper proves the existence of such a k but does not provide a formula for it. In the paper [SS], Karen E. Smith and myself find explicit k for ordinary and Frobeni...
متن کاملsynthesis of binuclear platinum complexes containing biphosphine ligand
هدف از این مطالعه طراحی یک روش کلی برای سنتز یک سری از کمپلکس های دو هسته ای متقارن سیکلومتاله شده پلاتین (ii) بوده که دارای یک لیگاند پل زن(1,2-bis[bis(pentafluoro-phenyl)phosphino]ethane),dfppe, است. از واکنش cis-[pt(r)2(sme2)2]، که در آنr= para-tolyl ، با یک اکی والان از لیگاند benzo[h]quinoline,bhq، در استون محصول [pt(r)(bhq)(sme2)] که در آن r= para-tolyl بدست می آید. همچنین از واکنش 5/0 اک...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2023
ISSN: ['1522-2616', '0025-584X']
DOI: https://doi.org/10.1002/mana.202100485