666 research outputs found
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 be a local Gorenstein ring with infinite residue field of arbitrary
characteristic. Let be an --ideal with g=\height I >0, analytic spread
, and let be a minimal reduction of . We further assume that
satisfies and {\depth}
R/I^j \geq \dim R/I -j+1 for . The question we are
interested in is whether \core{I}=J^{n+1}:\ds \sum_{b \in I} (J,b)^n for . 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 be a Noetherian local ring and let be an ideal in . The ideal
is called balanced if the colon ideal is independent of the choice of
the minimal reduction of . Under suitable assumptions, Ulrich showed
that is balanced if and only if the reduction number, , of is at
most the `expected' one, namely \ell(I)- \height I+1, where is the
analytic spread of . In this article we propose a generalization of
balanced. We prove under suitable assumptions that if either is
one-dimensional or the associated graded ring of is Cohen-Macaulay, then
is independent of the choice of the minimal reduction of
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 be a graph and let be the edge ideal of . Our main results in
this article provide lower bounds for the depth of the first three powers of
in terms of the diameter of . More precisely, we show that \depth R/I^t
\geq \left\lceil{\frac{d-4t+5}{3}} \right\rceil +p-1, where is the
diameter of , is the number of connected components of and . 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
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