Semigroup quasivarieties: Two lattices and a reopened problem

Author(s):  
Tim Koussas

We determine all quasivarieties of aperiodic semigroups that are contained in some residually finite variety. This endeavor was initially motivated by a problem in natural dualities, but our work here also serves as a partial correction to an error found in a result of Sapir from the 1980s.

2010 ◽  
Vol 89 (2) ◽  
pp. 181-198 ◽  
Author(s):  
IGOR DOLINKA

AbstractWe prove that the variety consisting of all involutory inflations of normal bands is the unique maximal residually finite variety consisting of combinatorial semigroups with involution.


Author(s):  
Michael K. Kundmann ◽  
Ondrej L. Krivanek

Parallel detection has greatly improved the elemental detection sensitivities attainable with EELS. An important element of this advance has been the development of differencing techniques which circumvent limitations imposed by the channel-to-channel gain variation of parallel detectors. The gain variation problem is particularly severe for detection of the subtle post-threshold structure comprising the EXELFS signal. Although correction techniques such as gain averaging or normalization can yield useful EXELFS signals, these are not ideal solutions. The former is a partial throwback to serial detection and the latter can only achieve partial correction because of detector cell inhomogeneities. We consider here the feasibility of using the difference method to efficiently and accurately measure the EXELFS signal.An important distinction between the edge-detection and EXELFS cases lies in the energy-space periodicities which comprise the two signals. Edge detection involves the near-edge structure and its well-defined, shortperiod (5-10 eV) oscillations. On the other hand, EXELFS has continuously changing long-period oscillations (∼10-100 eV).


2012 ◽  
Vol 23 (6) ◽  
pp. 576-588 ◽  
Author(s):  
Lan Wang ◽  
Jonathan B. Rosenberg ◽  
Bishnu P. De ◽  
Barbara Ferris ◽  
Rui Wang ◽  
...  

Nephron ◽  
1993 ◽  
Vol 64 (3) ◽  
pp. 465-467
Author(s):  
George J. Mellotte ◽  
Stephen H. Morgan ◽  
Stephen A. Smith ◽  
Michael R. Bending ◽  
Anthony J. Eisinger

1969 ◽  
Vol 10 (3-4) ◽  
pp. 497-498 ◽  
Author(s):  
Gilbert Baumslag

Let G be a group on two generators a and b subject to the single defining relation a = [a, ab]: . As usual [x, y] = x−1y−1xy and xy = y−1xy if x and y are elements of a group. The object of this note is to show that every finite quotient of G is cyclic. This implies that every normal subgroup of G contains the derived group G′. But by Magnus' theory of groups with a single defining relation G′ ≠ 1 ([1], §4.4). So G is not residually finite. This underlines the fact that groups with a single defining relation need not be residually finite (cf. [2]).


2017 ◽  
Vol 16 (10) ◽  
pp. 1750200 ◽  
Author(s):  
László Székelyhidi ◽  
Bettina Wilkens

In 2004, a counterexample was given for a 1965 result of R. J. Elliott claiming that discrete spectral synthesis holds on every Abelian group. Since then the investigation of discrete spectral analysis and synthesis has gained traction. Characterizations of the Abelian groups that possess spectral analysis and spectral synthesis, respectively, were published in 2005. A characterization of the varieties on discrete Abelian groups enjoying spectral synthesis is still missing. We present a ring theoretical approach to the issue. In particular, we provide a generalization of the Principal Ideal Theorem on discrete Abelian groups.


2000 ◽  
Vol 231 (2) ◽  
pp. 561-573
Author(s):  
Ulderico Dardano ◽  
Bettina Eick ◽  
Martin Menth

1987 ◽  
Vol 8 (12) ◽  
pp. 495-500 ◽  
Author(s):  
José A. Marinero Càceres ◽  
Yolanda de Sotello

AbstractWe describe circumstances at the Hospital Rosales, located in San Salvador, El Salvador, and some salient observations from an infection control program begun in 1978. Findings include overuse of antibiotics, especially of penicillin and chloramphenicol; a predominance of gram-negative rod infections, especially Pseudomonas aeruginosa; a relative infrequency of Staphylococcus aureus infections; an apparent doubling of the mean duration of hospitalization for patients with nosocomial infections compared with other patients (22.1 days versus 11.0 days); documentation and partial correction of deficiencies in aseptic and antiseptic practices; an outbreak of Pseudomonas aeruginosa endophthalmitis traced to the hospital's factory for the manufacturing of intravenous fluids; and attitudinal problems such as the care of patients with rabies on open wards. Prevalence surveys conducted during 1981 and 1986 suggest a dramatic increase in the recent incidence of surgical wound infection (44% v 28%, P < 0.001). This latter observation suggests a direct relationship between infection rates and the hardships imposed by poverty and civil war.


Author(s):  
N.V. Shumatova ◽  

Abstract. Labour conditions of workers contacting with fibrogenic silicate dust in isolators’ production were studied. Additional examination included determination of the degree of endothelial disfunction, apoptosis and systemic inflammation. Besides the effect of Ethylmethylhydroxypyridine succinate on these parameters and the lipid profile was evaluated. Atherogenic changes of the lipid profile, moderate endothelial disfunction (level of circulating endotheliocytes is 6,04±1,97*104/l), slight tension of apoptosis (TNF-α 8,11±6,67 pg/ml) and activation of systemic inflammation (C-RP 8,1±4,5 mg/l) were found. Application of Ethylmethylhydroxypyridine succinate led to the partial correction of dyslipidemia and endothelial disfunction without the significant effect on other researching laboratory parameters; significant improvement of respiratory function was noted.


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