scholarly journals Riesz decomposition properties and the lexicographic product of po-groups

2015 ◽  
Vol 20 (6) ◽  
pp. 2103-2117 ◽  
Author(s):  
Anatolij Dvurečenskij
2010 ◽  
Vol 60 (5) ◽  
Author(s):  
Ivan Chajda ◽  
Jan Kühr

AbstractIt is shown that an arbitrary interval of a pseudo-effect algebra is a pseudo-effect algebra and some results concerning Riesz decomposition properties, compatibilities and states are proved.


1997 ◽  
Vol 08 (03) ◽  
pp. 383-405 ◽  
Author(s):  
Francesc Perera

In this paper we give a representation theorem for the Cuntz monoid S(A) of a σ-unital C*-algebra A with real rank zero and stable rank one, which allows to prove several Riesz decomposition properties on the monoid. As a consequence, it is proved that the comparability conditions (FCQ), stable (FCQ) and (FCQ+) are equivalent for simple C*-algebras with real rank zero. It is also shown that the Grothendieck group [Formula: see text] of S(A) is a Riesz group, and lattice-ordered under some additional assumptions on A.


2015 ◽  
Vol 71 (10) ◽  
pp. 1478-1484
Author(s):  
Zhiping Zhu ◽  
Chenlin Dai ◽  
Sen Liu ◽  
Ye Tian

The sulphate content of a system increases when strong-acid cationic exchange resins leak into a system or when sulphonic acid groups on the resin organic chain detach. To solve this problem, a dynamic cycle method was used in dissolution experiments of several resins under H2O2 or residual chlorine conditions. Results show that after performing dynamic cycle experiments for 120 hours under oxidizing environments, the SO42− and total organic carbon (TOC) released by four kinds of resins increased with time, contrary to their release velocity. The quantity of released SO42− increased as the oxidizing ability of oxidants was enhanced. Results showed that the quantity and velocity of released SO42− under residual chlorine condition were larger than those under H2O2 condition. Data analysis of SO42− and TOC released from the four kinds of resins by the dynamic cycle experiment revealed that the strength of oxidation resistance of the four resins were as follows: 650C > 1500H > S200 > SP112H.


Polymers ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 479
Author(s):  
Dana Luca Motoc ◽  
Jose Miguel Ferri ◽  
Santiago Ferrandiz-Bou ◽  
Daniel Garcia-Garcia ◽  
Rafael Balart

This contribution focuses on the development of flax and flax/basalt hybrid reinforced composites based on epoxidized linseed oil (ELO) resin, exploiting the feasibility of different ratios of glutaric anhydride (GA) to maleinized linseed oil (MLO) in the hardener system (50:0, 40:10 and 30:20 wt.%) to provide crosslinked thermosets with balanced properties. The hybrid laminates have been manufactured by resin transfer molding (RTM) and subjected to dynamic–mechanical (DMA) and thermal gravimetry (TGA) analysis. The presence of glutaric anhydride (GA) resulted in hard and relatively brittle flax and flax/basalt laminates, whose loss moduli decreased as the number of basalt plies diminished. Furthermore, the increase in MLO content in the GA:MLO hardener system shifted the glass transition temperatures (Tg) from 70 °C to 59 and 56 °C, which is representative of a decrease in brittleness of the crosslinked resin. All samples exhibited two stages of their decomposition process irrespective of the MLO content. The latter influenced the residual mass content that increased with the increase of the MLO wt.% from 10 to 30 wt.%, with shifts of the final degradation temperatures from 410 °C to 425 °C and 445 °C, respectively.


2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Jiaofeng Wang ◽  
Bin Huang ◽  
Nanjundan Yamini

AbstractIn this paper, by using an augmented Riesz decomposition method, we obtain sharp estimates of harmonic functions with certain boundary integral condition, which provide explicit lower bounds of functions harmonic in a cone. The results given here can be used as tools in the study of integral equations.


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