Dangerous ontologies: the ethos of survival and ethical theorising in international relations

The article responds to a recent call for a more systematic interrogation of the persistence of the dichotomous relation between ethics and International Relations. The addition of ethics into International Relations, it has recently been claimed, has left unquestioned the ethical assumptions encompassed in the ‘agenda’ of International Relations itself. Thus, the article examines the ethics implicit in the ‘agenda of IR’ and, in so doing, considers the condition of possibility for a movement beyond the dichotomy ‘ethics and IR’ and towards ‘an ethical International Relations’. To achieve this task the article calls for an understanding of ethics as ethos. It further illustrates how the ‘dangerous ontology’ of realist IR is discursively created through an exposition of Thomas Hobbes's Leviathan and Carl Schmitt's The Concept of the Political. In this anarchical ontology of danger an ‘ethos of survival’ has come to be the relational framework through which the other is conceptually encountered as an enemy. Subsequently, the article considers what repercussions this ethos has for the reception of ethics into IR

Computing the core of ideals in arbitrary characteristic

Let $R$ be a local Gorenstein ring with infinite residue field of arbitrary characteristic. Let $I$ be an $R$--ideal with g=\height I >0, analytic spread $\ell$, and let $J$ be a minimal reduction of $I$. We further assume that $I$ satisfies $G_{\ell}$ and {\depth} R/I^j \geq \dim R/I -j+1 for $1 \leq j \leq \ell-g$. The question we are interested in is whether \core{I}=J^{n+1}:\ds \sum_{b \in I} (J,b)^n for $n \gg 0$. In the case of analytic spread one Polini and Ulrich show that this is true with even weaker assumptions (\cite[Theorem 3.4]{PU}). We give a negative answer to this question for higher analytic spreads and suggest a formula for the core of such ideals.Comment: 13 pages, revised. To appear in the Journal of Algebr

Reduction Numbers and Balanced Ideals

Let $R$ be a Noetherian local ring and let $I$ be an ideal in $R$. The ideal $I$ is called balanced if the colon ideal $J:I$ is independent of the choice of the minimal reduction $J$ of $I$. Under suitable assumptions, Ulrich showed that $I$ is balanced if and only if the reduction number, $r(I)$, of $I$ is at most the `expected' one, namely \ell(I)- \height I+1, where $\ell(I)$ is the analytic spread of $I$. In this article we propose a generalization of balanced. We prove under suitable assumptions that if either $R$ is one-dimensional or the associated graded ring of $I$ is Cohen-Macaulay, then $J^{n+1}:I^n$ is independent of the choice of the minimal reduction $J$ of $I$ if and only if r(I) \leq \ell(I)-\height I+n.Comment: 9 pages, submitted for publicatio

A Lower Bound For Depths of Powers of Edge Ideals

Let $G$ be a graph and let $I$ be the edge ideal of $G$. Our main results in this article provide lower bounds for the depth of the first three powers of $I$ in terms of the diameter of $G$. More precisely, we show that \depth R/I^t \geq \left\lceil{\frac{d-4t+5}{3}} \right\rceil +p-1, where $d$ is the diameter of $G$, $p$ is the number of connected components of $G$ and $1 \leq t \leq 3$. For general powers of edge ideals we showComment: 21 pages, to appear in Journal of Algebraic Combinatoric

Statistical estimate of the proportional hazard premium of loss under random censoring

Many insurance premium principles are defined and various estimation procedures introduced in the literature. In this paper, we focus on the estimation of the excess-of-loss reinsurance premium when the risks are randomly right-censored. The asymptotic normality of the proposed estimator is established under suitable conditions and its performance evaluated through sets of simulated data.Comment: arXiv admin note: text overlap with arXiv:1507.03178, arXiv:1302.166