scholarly journals A note on nil-clean rings

2020 ◽  
Vol 12 (2) ◽  
pp. 287-293
Author(s):  
Peter V. Danchev

AbstractWe study a special kind of nil-clean rings, namely those nil-clean rings whose nilpotent elements are difference of two “left-right symmetric” idempotents, and prove that in some various cases they are strongly π-regular. We also show that all nil-clean rings having cyclic unit 2-groups are themselves strongly nil-clean of characteristic 2 (and thus they are again strongly π-regular).

2010 ◽  
pp. 439-450
Author(s):  
Marta Janczewska

Research team of physicians and lab technicians under Izrael Milejkowski’s direction undertook the effort to carry out a series of clinical and biochemical experiments on patients dying of starvation in the Warsaw ghetto so as to receive the fullest possible picture of hunger disease. The research was carried out according to all the rigors of strict scientific discipline, and the authors during their work on academic articles, published it after the war entitled: „Starvation disease: hunger research carried out in the Warsaw ghetto in 1942,” according to their own words, they “supplemented the gap in accordance with the progress of knowledge.” The article is devoted to the reflections over ethical dilemmas of the research team, who were forced in their work to perform numerous medical treatments of experimental nature on extremely exhausted patients. The ill, according to Dr Fajgenblat’s words,“demonstrated negativism toward the research and treatment, which extremely hindered the work, and sometimes even frustrated it.” The article attempts to look at the monumental research work of the Warsaw ghetto doctors as a special kind of response of the medical profession to the feeling of helplessness to the dying patients. The article analyzes the situation of Warsaw ghetto doctors, who undertook the research without support of any outer authority, which could settle their possible ethical dilemmas (Polish deontological codes, European discussions on the conditions of the admissibility of medical research on patients, etc.).


2002 ◽  
Vol 4 (1) ◽  
pp. 31-43
Author(s):  
Sophie de Mijolla-Mellor

This paper deals with the evolution of the psychoanalytic practice with psychotic patients beginning with Freud's scepticism about the transference capacities of those patients to a new definition of a special kind of psychotic transference. The main hypothesis is that the actual case of psychotics within a psychoanalytic cure has modified the psychoanalytic method itself, even in the field of neuroses. Within the framework and, more specifically, in the case of schizophrenics, this paper develops some reflections on the evolution of the three following concepts: transference/countertransference, communication and interpretation, and reality.


2019 ◽  
Vol 56 (2) ◽  
pp. 252-259
Author(s):  
Ebrahim Hashemi ◽  
Fatemeh Shokuhifar ◽  
Abdollah Alhevaz

Abstract The intersection of all maximal right ideals of a near-ring N is called the quasi-radical of N. In this paper, first we show that the quasi-radical of the zero-symmetric near-ring of polynomials R0[x] equals to the set of all nilpotent elements of R0[x], when R is a commutative ring with Nil (R)2 = 0. Then we show that the quasi-radical of R0[x] is a subset of the intersection of all maximal left ideals of R0[x]. Also, we give an example to show that for some commutative ring R the quasi-radical of R0[x] coincides with the intersection of all maximal left ideals of R0[x]. Moreover, we prove that the quasi-radical of R0[x] is the greatest quasi-regular (right) ideal of it.


Fachsprache ◽  
2019 ◽  
Vol 41 (S1) ◽  
pp. 87-100
Author(s):  
Wenke Mückel

Metaphorical elements are a highly productive language means in live reports about sport events on TV. They occur in different relations to what is simultaneously seen on screen and depend on the reporter as well as on the special kind of sport. But nevertheless, general structures and functions of metaphors in those medium-bound oral texts can be indicated; as one of the markers they contribute to what is often called language of sport or maybe rather communicative template of sport. Examples taken from TV reports of the European Football Championship and the Olympic Games (both took place in 2016) are used to illustrate this character of metaphorical expressions in sport reports on TV.


Author(s):  
Christine M. Korsgaard

Opponents of Kant suppose he thinks that autonomy gives rational beings a special kind of intrinsic value. Since knowledge of intrinsic values would have to be a kind of metaphysical knowledge, this interpretation is contrary to Kant’s strictures on the limits of knowledge. Rather, Kant thinks that only rational beings can engage in reciprocal lawmaking, which is the source of moral laws. Animals cannot obligate us in the sense of participating in making laws for us. This, however, ignores a second sense in which we can have duties to animals: the laws we make for the treatment of people might also cover the treatment of animals. The chapter ends by explaining why it is hard to get this kind of conclusion using the universalization test.


Author(s):  
Olivier Darrigol

This chapter recounts how Boltzmann reacted to Hermann Helmholtz’s analogy between thermodynamic systems and a special kind of mechanical system (the “monocyclic systems”) by grouping all attempts to relate thermodynamics to mechanics, including the kinetic-molecular analogy, into a family of partial analogies all derivable from what we would now call a microcanonical ensemble. At that time, Boltzmann regarded ensemble-based statistical mechanics as the royal road to the laws of thermal equilibrium (as we now do). In the same period, he returned to the Boltzmann equation and the H theorem in reply to Peter Guthrie Tait’s attack on the equipartition theorem. He also made a non-technical survey of the second law of thermodynamics seen as a law of probability increase.


Author(s):  
Timothy Williamson

The book argues that our use of conditionals is governed by imperfectly reliable heuristics, in the psychological sense of fast and frugal (or quick and dirty) ways of assessing them. The primary heuristic is this: to assess ‘If A, C’, suppose A and on that basis assess C; whatever attitude you take to C conditionally on A (such as acceptance, rejection, or something in between) take unconditionally to ‘If A, C’. This heuristic yields both the equation of the probability of ‘If A, C’ with the conditional probability of C on A and standard natural deduction rules for the conditional. However, these results can be shown to make the heuristic implicitly inconsistent, and so less than fully reliable. There is also a secondary heuristic: pass conditionals freely from one context to another under normal conditions for acceptance of sentences on the basis of memory and testimony. The effect of the secondary heuristic is to undermine interpretations on which ‘if’ introduces a special kind of context-sensitivity. On the interpretation which makes best sense of the two heuristics, ‘if’ is simply the truth-functional conditional. Apparent counterexamples to truth-functionality are artefacts of reliance on the primary heuristic in cases where it is unreliable. The second half of the book concerns counterfactual conditionals, as expressed with ‘if’ and ‘would’. It argues that ‘would’ is an independently meaningful modal operator for contextually restricted necessity: the meaning of counterfactuals is simply that derived compositionally from the meanings of their constituents, including ‘if’ and ‘would’, making them contextually restricted strict conditionals.


2020 ◽  
Vol 23 (4) ◽  
pp. 641-658
Author(s):  
Gunnar Traustason ◽  
James Williams

AbstractIn this paper, we continue the study of powerfully nilpotent groups. These are powerful p-groups possessing a central series of a special kind. To each such group, one can attach a powerful nilpotency class that leads naturally to the notion of a powerful coclass and classification in terms of an ancestry tree. In this paper, we will give a full classification of powerfully nilpotent groups of rank 2. The classification will then be used to arrive at a precise formula for the number of powerfully nilpotent groups of rank 2 and order {p^{n}}. We will also give a detailed analysis of the ancestry tree for these groups. The second part of the paper is then devoted to a full classification of powerfully nilpotent groups of order up to {p^{6}}.


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