Bounds for the minimum distance function
Let I be a homogeneous ideal in a polynomial ring S. In this paper, we extend the study of the asymptotic behavior of the minimum distance function δI of I and give bounds for its stabilization point, rI, when I is an F -pure or a square-free monomial ...
Núñez-Betancourt Luis +2 more
doaj +1 more source
Pascal type properties of Betti numbers
In this paper, we will describe the Pascal Type properties of Betti numbers of ideals associated to n‐gons. These are quite similar to the properties enjoyed by the Pascal′s Triangle, concerning the binomial coefficients. By definition, the Betti numbers βt(n) of an ideal I associated to an n‐gon are the ranks of the modules in a free minimal ...
Tilak de Alwis
wiley +1 more source
Algebraic properties of the binomial edge ideal of a complete bipartite graph
Let JG denote the binomial edge ideal of a connected undirected graph on n vertices. This is the ideal generated by the binomials xiyj − xjyi, 1 ≤ i < j≤ n, in the polynomial ring S = K[x1, . . . , xn, y1, . . . , yn] where {i, j} is an edge of G.
Schenzel Peter, Zafar Sohail
doaj +1 more source
On algebraic characterization of SSC of the Jahangir’s graph 𝓙n,m
In this paper, some algebraic and combinatorial characterizations of the spanning simplicial complex Δs(𝓙n,m) of the Jahangir’s graph 𝓙n,m are explored. We show that Δs(𝓙n,m) is pure, present the formula for f-vectors associated to it and hence deduce a ...
Raza Zahid, Kashif Agha, Anwar Imran
doaj +1 more source
On Characteristic Poset and Stanley Decomposition
Let J ⊂ I be two monomial ideals such that I/J is Cohen Macaulay. By associating a finite posets PI/Jg$P_{I/J}^g$ to I/J, we show that if I/J is a Stanley ideal then I/J˜$\widetilde{I/J}$ is also a Stanley ideal, where I/J˜$\widetilde{I/J}$ is the ...
Ahmad Sarfraz +2 more
doaj +1 more source
Koszul homomorphisms and universal resolutions in local algebra
We define a local homomorphism $(Q,k)\to (R,\ell )$ to be Koszul if its derived fiber $R\otimes ^{\mathsf {L}}_Q k$ is formal, and if $\operatorname {Tor}^{Q}(R,k)$ is Koszul in the classical sense.
Benjamin Briggs +3 more
doaj +1 more source
Hyperacute simultaneous cardiocerebral infarction related to floating thrombus in the ascending aorta: a case report. [PDF]
Issa R, Gallissot F, Cochet A, Cottin Y.
europepmc +1 more source
A nurse-led multicomponent intervention supported by advanced electronic health records to improve the acute management of stroke patients: A pre- and post-intervention study. [PDF]
Dello S +7 more
europepmc +1 more source
On the arithmetic of stable domains. [PDF]
Bashir A, Geroldinger A, Reinhart A.
europepmc +1 more source
Prognostic value of the immune target CEACAM6 in cancer: a meta-analysis. [PDF]
Burgos M +6 more
europepmc +1 more source

