A Generalization of Semiregular and Almost Principally Injective Rings

2010 ◽  
Vol 17 (spec01) ◽  
pp. 905-916
Author(s):  
A. Çiğdem Özcan ◽  
Pınar Aydoğdu

In this article, we call a ring R right almost I-semiregular for an ideal I of R if for any a ∈ R, there exists a left R-module decomposition lRrR(a) = P ⊕ Q such that P ⊆ Ra and Q ∩ Ra ⊆ I, where l and r are the left and right annihilators, respectively. This generalizes the right almost principally injective rings defined by Page and Zhou, I-semiregular rings defined by Nicholson and Yousif, and right generalized semiregular rings defined by Xiao and Tong. We prove that R is I-semiregular if and only if for any a ∈ R, there exists a decomposition lRrR(a) = P ⊕ Q, where P = Re ⊆ Ra for some e2 = e ∈ R and Q ∩ Ra ⊆ I. Among the results for right almost I-semiregular rings, we show that if I is the left socle Soc (RR) or the right singular ideal Z(RR) or the ideal Z(RR) ∩ δ(RR), where δ(RR) is the intersection of essential maximal left ideals of R, then R being right almost I-semiregular implies that R is right almost J-semiregular for the Jacobson radical J of R. We show that δl(eRe) = e δ(RR)e for any idempotent e of R satisfying ReR = R and, for such an idempotent, R being right almost δ(RR)-semiregular implies that eRe is right almost δl(eRe)-semiregular.

2012 ◽  
Vol 117 (5) ◽  
pp. 1051-1061 ◽  
Author(s):  
Grégoire Blaudszun ◽  
Denis R. Morel

Background Pulmonary hypertension and associated pressure-overload right ventricular (RV) hypertrophy represent a tremendous challenge for the anesthesiologist, as optimal perioperative management is mandatory. However, the ideal anesthetic agent remains unknown because scientific evidence is lacking. Methods Twenty-eight rats were randomly assigned to a control or a monocrotaline group (60 mg kg). Four weeks later, animals were anesthetized, instrumented with a RV conductance catheter, and underwent well-controlled dose-responses to isoflurane, desflurane, and sevoflurane inhalation (minimum alveolar concentrations 0.5, 1.0, 1.5). Results Compared with controls, rats injected with monocrotaline presented with RV hypertrophy, increased afterload, and contractility, without change in cardiac output. The ratio of pressures in the right over the left circulation increased. The halogenated volatiles differently altered hemodynamics. Sevoflurane reduced RV contractility (more than 50%) and the right over left pressures ratio increased (from 0.41 ± 0.08 [SD] to 0.82 ± 0.14; P < 0.0001) secondary to profound concomitant systemic vasodilation, demonstrating a critical pressure gradient between right and left circulations. Despite significantly higher RV systolic pressures and afterload, desflurane decreased RV contractility much less (<10%; P < 0.0001 vs. sevoflurane) and maintained the right over left pressures ratio at more favorable values (0.47 ± 0.07; P < 0.0001 vs. sevoflurane). Isoflurane presented intermediate effects. Conclusion In the presence of pressure-overload RV hypertrophy, hemodynamics are better preserved under desflurane inhalation, whereas sevoflurane-and to a lesser extent isoflurane-cause large discrepancies on the left and right circulations, raising the right over left pressures ratio to critical levels despite a conserved cardiac output.


2011 ◽  
Vol 18 (spec01) ◽  
pp. 785-800
Author(s):  
W. K. Nicholson ◽  
Yiqiang Zhou

A right ideal A of a ring R is called annihilator-small if A+T=R, T a right ideal, implies that [Formula: see text], where [Formula: see text] indicates the left annihilator. The sum Ar of all such right ideals turns out to be a two-sided ideal that contains the Jacobson radical and the left singular ideal, and is contained in the ideal generated by the total of the ring. The ideal Ar is studied, conditions when it is annihilator-small are given, its relationship to the total of the ring is examined, and its connection with related rings is investigated.


2011 ◽  
Vol 14 (3) ◽  
pp. 142 ◽  
Author(s):  
Raja R. Gopaldas ◽  
Faisal G. Bakaeen ◽  
Danny Chu ◽  
Joseph S. Coselli ◽  
Denton A. Cooley

The future of cardiothoracic surgery faces a lofty challenge with the advancement of percutaneous technology and minimally invasive approaches. Coronary artery bypass grafting (CABG) surgery, once a lucrative operation and the driving force of our specialty, faces challenges with competitive stenting and poor reimbursements, contributing to a drop in applicants to our specialty that is further fueled by the negative information that members of other specialties impart to trainees. In the current era of explosive technological progress, the great diversity of our field should be viewed as a source of excitement, rather than confusion, for the upcoming generation. The ideal future cardiac surgeon must be a "surgeon-innovator," a reincarnation of the pioneering cardiac surgeons of the "golden age" of medicine. Equipped with the right skills, new graduates will land high-quality jobs that will help them to mature and excel. Mentorship is a key component at all stages of cardiothoracic training and career development. We review the main challenges facing our specialty�length of training, long hours, financial hardship, and uncertainty about the future, mentorship, and jobs�and we present individual perspectives from both residents and faculty members.


Author(s):  
Corey Brettschneider

How should a liberal democracy respond to hate groups and others that oppose the ideal of free and equal citizenship? The democratic state faces the hard choice of either protecting the rights of hate groups and allowing their views to spread, or banning their views and violating citizens' rights to freedoms of expression, association, and religion. Avoiding the familiar yet problematic responses to these issues, this book proposes a new approach called value democracy. The theory of value democracy argues that the state should protect the right to express illiberal beliefs, but the state should also engage in democratic persuasion when it speaks through its various expressive capacities: publicly criticizing, and giving reasons to reject, hate-based or other discriminatory viewpoints. Distinguishing between two kinds of state action—expressive and coercive—the book contends that public criticism of viewpoints advocating discrimination based on race, gender, or sexual orientation should be pursued through the state's expressive capacities as speaker, educator, and spender. When the state uses its expressive capacities to promote the values of free and equal citizenship, it engages in democratic persuasion. By using democratic persuasion, the state can both respect rights and counter hateful or discriminatory viewpoints. The book extends this analysis from freedom of expression to the freedoms of religion and association, and shows that value democracy can uphold the protection of these freedoms while promoting equality for all citizens.


Author(s):  
O. I. Admakin ◽  
I. A. Solop ◽  
A. D. Oksentyuk

Relevance. The narrowing of the maxilla is one of the most common pathologies in orthodontics. Recent studies show that the narrowing is always asymmetric which is connected to the rotation of the maxilla. To choose the treatment correctly one need a calculation that reveals the asymmetry, which is impossible with using standard indexes.Purpose – to compare efficiency of indexes of Pont and Korkhause with the Kernott's method in patients with narrowing of the maxilla.Materials and methods. The study involved 35 children aged from 8 to 12 years old undergoing dental treatment in the University Children's Clinical Hospital of the First Moscow State Medical University with no comorbidities. For every patient a gypsum model was prepared and after that to carry out the biometrical calculation. In this study two indexes were used: Pont's index and Korkhause's; using this standard analysis the narrowing of the maxilla was revealed. After using Pont's Index and Korkhaus analysis all the models were calculated by the method of Kernott with Kernott's dynamic pentagon.Results. As a result of the analysis of the control diagnostic models a narrowing of the maxilla in 69% of cases (n = 24) was revealed in all cases, the deviation of the size of the dentition was asymmetric. Thus, 65% of the surveyed models showed a narrowing on the right. This narrowing was of a different severity and averaged 15 control models.Conclusions. This shows that for the biometrics of diagnostic models it is necessary to use methods that allow to estimate the width of the dentition rows on the left and on the right separately. To correct the asymmetric narrowing of the dentition, it is preferable to use non-classical expanding devices that act equally on the left and right sides separetly.


2020 ◽  
Vol 37 (2) ◽  
pp. 153-169
Author(s):  
Teresa M. Bejan

AbstractThe classical liberal doctrine of free expression asserts the priority of speech as an extension of the freedom of thought. Yet its critics argue that freedom of expression, itself, demands the suppression of the so-called “silencing speech” of racists, sexists, and so on, as a threat to the equal expressive rights of others. This essay argues that the claim to free expression must be distinguished from claims to equal speech. The former asserts an equal right to express one’s thoughts without interference; the latter the right to address others, and to receive a hearing and consideration from them, in turn. I explore the theory of equal speech in light of the ancient Athenian practice of isegoria and argue that the equality demanded is not distributive but relational: an equal speaker’s voice should be counted as “on a par” with others. This ideal better captures critics’ concerns about silencing speech than do their appeals to free expression. Insofar as epistemic and status-harms provide grounds for the suppression and exclusion of some speech and speakers, the ideal of equal speech is more closely connected with the freedom of association than of thought. Noticing this draws attention to the continuing—and potentially problematic—importance of exclusion in constituting effective sites of equal speech today.


2020 ◽  
Vol 66 (3) ◽  
pp. 335-361
Author(s):  
Sabina Pultz

Abstract This case study investigates the affective governing of young unemployed people, and it concludes that getting money in the Danish welfare state comes with an “affective price”. In the quest for a job, unemployed people have been increasingly responsibilized in order to live up to the ideal of the active jobseeker. Consequently, when faced with unemployment, they are encouraged to work harder on themselves and their motivation. Based on an interview study with young unemployed people (N=39) and field observations made at employment fund agencies in Denmark (2014–15), I explore how young unemployed people are governed by and through their emotions. By supplementing governmentality studies (Foucault et al. 1988, 2010) with the concept of “affective economy” from Ahmed (2014), I discuss how young unemployed people who receive money from the Danish state are placed in a situation of debt. The paper unfolds how this debt becomes visible as the unemployed people often describe feeling under suspicion for not doing enough, for not being motivated enough. Through an abundance of (pro) activity, they have to prove the suspicion of being lazy wrong, and through managing themselves as active jobseekers, they earn the right to get money from the state. Here motivation, passion and empowerment are key currencies. I discuss the intricate interplay between monetary and affective currencies as well as political implications in the context of the Danish welfare. The article contributes by making visible the importance of taking affective matters into account when investigating the complex relationship between politics and psychology.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Sanda Iacobas ◽  
Bogdan Amuzescu ◽  
Dumitru A. Iacobas

AbstractMyocardium transcriptomes of left and right atria and ventricles from four adult male C57Bl/6j mice were profiled with Agilent microarrays to identify the differences responsible for the distinct functional roles of the four heart chambers. Female mice were not investigated owing to their transcriptome dependence on the estrous cycle phase. Out of the quantified 16,886 unigenes, 15.76% on the left side and 16.5% on the right side exhibited differential expression between the atrium and the ventricle, while 5.8% of genes were differently expressed between the two atria and only 1.2% between the two ventricles. The study revealed also chamber differences in gene expression control and coordination. We analyzed ion channels and transporters, and genes within the cardiac muscle contraction, oxidative phosphorylation, glycolysis/gluconeogenesis, calcium and adrenergic signaling pathways. Interestingly, while expression of Ank2 oscillates in phase with all 27 quantified binding partners in the left ventricle, the percentage of in-phase oscillating partners of Ank2 is 15% and 37% in the left and right atria and 74% in the right ventricle. The analysis indicated high interventricular synchrony of the ion channels expressions and the substantially lower synchrony between the two atria and between the atrium and the ventricle from the same side.


Author(s):  
Ravi Srinivasa Rao ◽  
K. Siva Prasad ◽  
T. Srinivas

By a near-ring we mean a right near-ring.J0r, the right Jacobson radical of type 0, was introduced for near-rings by the first and second authors. In this paper properties of the radicalJ0rare studied. It is shown thatJ0ris a Kurosh-Amitsur radical (KA-radical) in the variety of all near-ringsR, in which the constant partRcofRis an ideal ofR. So unlike the left Jacobson radicals of types 0 and 1 of near-rings,J0ris a KA-radical in the class of all zero-symmetric near-rings.J0ris nots-hereditary and hence not an ideal-hereditary radical in the class of all zero-symmetric near-rings.


2012 ◽  
Vol 25 (0) ◽  
pp. 222 ◽  
Author(s):  
Michael J. Proulx ◽  
Achille Pasqualotto ◽  
Shuichiro Taya

The topographic representation of space interacts with the mental representation of number. Evidence for such number–space relations have been reported in both synaesthetic and non-synaesthetic participants. Thus far most studies have only examined related effects in sighted participants. For example, the mental number line increases in magnitude from left to right in sighted individuals (Loetscher et al., 2008, Curr. Biol.). What is unclear is whether this association arises from innate mechanisms or requires visual experience early in life to develop in this way. Here we investigated the role of visual experience for the left to right spatial numerical association using a random number generation task in congenitally blind, late blind, and blindfolded sighted participants. Participants orally generated numbers randomly whilst turning their head to the left and right. Sighted participants generated smaller numbers when they turned their head to the left than to the right, consistent with past results. In contrast, congenitally blind participants generated smaller numbers when they turned their head to the right than to the left, exhibiting the opposite effect. The results of the late blind participants showed an intermediate profile between that of the sighted and congenitally blind participants. Visual experience early in life is therefore necessary for the development of the spatial numerical association of the mental number line.


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