4,448 research outputs found
Spectral spaces and ultrafilters
Let be the prime spectrum of a ring. In [arXiv:0707.1525] the authors
define a topology on by using ultrafilters and they show that this topology
is precisely the constructible topology. In this paper we generalize the
construction given in [arXiv:0707.1525] and, starting from a set and a
collection of subsets of , we define by using ultrafilters a
topology on in which is a collection of clopen sets. We use
this construction for giving a new characterization of spectral spaces and
several new examples of spectral spaces.Comment: 16 pages. To appear in Communications in Algebr
Pr\"ufer-like conditions on an amalgamated algebra along an ideal
Let be a ring homomorphism and let be an
ideal of . In this paper we study Pr\"ufer like conditions in the
amalgamation of with along , with respect to , a ring
construction introduced in 2009 by D'Anna, Finocchiaro and Fontana.Comment: 17 pages. To appear in Houston Journal of Mathematic
Serum creatine kinase isoenzymes in children with osteogenesis imperfecta
This study evaluates serum creatine kinase isoenzyme
activity in children with osteogenesis imperfecta to determine
its usefulness as a biochemical marker during treatment
with bisphosphonate. The changes of creatine kinase
(CK) isoenzyme activity during and after discontinuation therapy
were observed. These results could be useful in addressing
over-treatment risk prevention.
Introduction The brain isoenzyme of creatine kinase (CKbb)
is highly expressed in mature osteoclasts during osteoclastogenesis,
thus plays an important role in bone resorption. We
previously identified high serum CKbb levels in 18 children
with osteogenesis imperfect (OI) type 1 treated for 1 year with
bisphosphonate (neridronate). In the present study, serum CK
isoenzymes were evaluated in the same children with continuous
versus discontinued neridronate treatment over a further
2-year follow-up period.
Methods This study included 18 children with OI type 1, 12
with continued (group A) and 6 with ceased (group B)
neridronate treatment. Auxological data, serum biochemical
markers of bone metabolism, bone mineral density z-score,
and serum total CK and isoenzyme activities were determined
in both groups.
Results Serum CKbb was progressively and significantly increased
in group A (p < 0.004) but rapidly decreased to undetectable
levels in group B. In both groups, the cardiac muscle
creatine kinase isoenzyme (CKmb) showed a marked decrease,
while serum C-terminal telopeptide (CTx) levels were
almost unchanged.
Conclusions This study provides evidence of the cumulative
effect of neridronate administration in increasing serum CKbb
levels and the reversible effect after its discontinuation. This
approach could be employed for verifying the usefulness of
serum CKbb as a biochemical marker in patients receiving
prolonged bisphosphonate treatment. Moreover, the decreased
serum CKmb levels suggest a systemic effect of these drugs
Topological properties of semigroup primes of a commutative ring
A semigroup prime of a commutative ring is a prime ideal of the semigroup
. One of the purposes of this paper is to study, from a topological
point of view, the space \scal(R) of prime semigroups of . We show that,
under a natural topology introduced by B. Olberding in 2010, \scal(R) is a
spectral space (after Hochster), spectral extension of \Spec(R), and that the
assignment R\mapsto\scal(R) induces a contravariant functor. We then relate
-- in the case is an integral domain -- the topology on \scal(R) with the
Zariski topology on the set of overrings of . Furthermore, we investigate
the relationship between \scal(R) and the space
consisting of all nonempty inverse-closed subspaces of \spec(R), which has
been introduced and studied in C.A. Finocchiaro, M. Fontana and D. Spirito,
"The space of inverse-closed subsets of a spectral space is spectral"
(submitted). In this context, we show that \scal( R) is a spectral retract of
and we characterize when \scal( R) is
canonically homeomorphic to , both in general and
when \spec(R) is a Noetherian space. In particular, we obtain that, when
is a B\'ezout domain, \scal( R) is canonically homeomorphic both to
and to the space \overr(R) of the overrings of
(endowed with the Zariski topology). Finally, we compare the space
with the space \scal(R(T)) of semigroup primes
of the Nagata ring , providing a canonical spectral embedding
\xcal(R)\hookrightarrow\scal(R(T)) which makes \xcal(R) a spectral retract
of \scal(R(T)).Comment: 21 page
A topological version of Hilbert's Nullstellensatz
We prove that the space of radical ideals of a ring , endowed with the
hull-kernel topology, is a spectral space, and that it is canonically
homeomorphic to the space of the nonempty Zariski closed subspaces of
Spec, endowed with a Zariski-like topology.Comment: J. Algebra (to appear
The fallacy of composition and meta-argumentation
Although the fallacy of composition is little studied and trivially illustrated, some view it as ubiquitous and paramount. Furthermore, although definitions regard the concept as unproblematic, it contains three distinct elements, often confused. And although some scholars apparently claim that fallacies are figments of a critic’s imagination, they are really proposing to study fallacies in the context of meta-argumentation. Guided by these ideas, I discuss the important historical example of Michels’s iron law of oligarchy
Meta-Argumentation in Hume’s Critique of the Design Argument
Although Hume’s critique of the design argument is a powerful non-inductive meta-argument, the main line of critical reasoning is not analogical but rather a complex meta-argument. It consists of two parts, one interpretive, the other evaluative. The critical meta-argument advances twelve criticisms: that the design argument is weak because two of its three premises are justified by inadequate subarguments; because its main inference embodies four flaws; and because the conclusion is in itself problematic for four reasons. Such complexity is quite manageable in a meta-argumentation approach
Dialectics, Evaluation, and Argument
Abstract: A critical examination of the dia-lectical approach, focusing on a comparison ofthe illative and the dialectical definitions of argument. I distinguish a moderate, a strong and a hyper dialectical conception of argument. I critique Goldman's argument for the moderate conception and Johnson's ar-gument for the strong conception, and argue that the moderate conception is correct. Resume: Un interrogatoire critique sur l'approche dialectical, qui concentre sur une comparaison des definitions d'argument illatives et dialecticales. Je distingue trois conceptions de I ' argument: la moden!e, la forte, et la hyper. Je cri-tique l'argument de Goldman qui supporte la conception moderee et celui de Johnson qui support la conception forte, et je pretends que la conception moderee est exact
Economic Reasoning and Fallacy of Composition: Pursuing a Woods-Walton Thesis
Woods and Walton deserve credit for including (in all editions of their textbook Argument) a discussion of “economic reasoning” and its susceptibility to the “fallacy of composition.” Unfortunately, they did not sufficiently pursue the topic, and argumentation scholars have apparently ignored their pioneering effort. Yet, obviously, economic argumentation is extremely important, and economists constantly harp on this fallacy. This paper calls attention to this problem, elaborating my own approach, which is empirical, historical, and meta-argumentational
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