Let A be a row-finite k-graph without sources. We investigate the relationship between the complex Kumjian-Pask algebra KPc(A) and graph algebra C*(A). We identify situations in which the Kumjian-Pask algebra is ...Let A be a row-finite k-graph without sources. We investigate the relationship between the complex Kumjian-Pask algebra KPc(A) and graph algebra C*(A). We identify situations in which the Kumjian-Pask algebra is equal to the graph algebra, and the conditions in which the Kumjian-Pask algebra is finite-dimensional.展开更多
Poly(p-arylene sulfide ketone/Schiffbase) copolymers (PASK/SB) were prepared by solution polycondensation of 4,4'-diflurobenzophenone (DFBP) and N-phenyl(4,4'-diflurodiphenyl) ketimine (DFBI) with sodium s...Poly(p-arylene sulfide ketone/Schiffbase) copolymers (PASK/SB) were prepared by solution polycondensation of 4,4'-diflurobenzophenone (DFBP) and N-phenyl(4,4'-diflurodiphenyl) ketimine (DFBI) with sodium sulfide in the presence of sodium hydroxide under normal pressure. Elemental analyses, FT-IR, NMR, DSC, TGA and XRD were used to characterize the resultant copolymers. It was found that the copolymers had good thermal properties with glass transition temperature (Tg) of 155.0-172.0℃, melting temperature (Tm) of 298-344℃, 5% weight loss temperatures (Td) of 471.0-501.5℃. These copolymers were almost amorphous with the content of DFBI beyond 30%. The polymer with 100% DFBI had excellent solubility, and it could dissolve in some solvents such as tetrahydrofuran (THF) and N-methyl-2- pyrrolidone (NMP). The processability of polymers was improved. Meantime the viscosity of PASK made from hydrolysis of PASK/SB (H-PASK/SB) was greatly improved from 0.135 dL/g to 0.605 dL/g.展开更多
基金Supported by Universitas Pendidikan Indonesia(Indonesia University of Education) Research Grant-Hibah Dosen Peneliti(Grant No.558/UN.40.8/LT/2012)
文摘Let A be a row-finite k-graph without sources. We investigate the relationship between the complex Kumjian-Pask algebra KPc(A) and graph algebra C*(A). We identify situations in which the Kumjian-Pask algebra is equal to the graph algebra, and the conditions in which the Kumjian-Pask algebra is finite-dimensional.
基金financially supported by the National High Technology Foundation of China(No.2007AA03Z561).
文摘Poly(p-arylene sulfide ketone/Schiffbase) copolymers (PASK/SB) were prepared by solution polycondensation of 4,4'-diflurobenzophenone (DFBP) and N-phenyl(4,4'-diflurodiphenyl) ketimine (DFBI) with sodium sulfide in the presence of sodium hydroxide under normal pressure. Elemental analyses, FT-IR, NMR, DSC, TGA and XRD were used to characterize the resultant copolymers. It was found that the copolymers had good thermal properties with glass transition temperature (Tg) of 155.0-172.0℃, melting temperature (Tm) of 298-344℃, 5% weight loss temperatures (Td) of 471.0-501.5℃. These copolymers were almost amorphous with the content of DFBI beyond 30%. The polymer with 100% DFBI had excellent solubility, and it could dissolve in some solvents such as tetrahydrofuran (THF) and N-methyl-2- pyrrolidone (NMP). The processability of polymers was improved. Meantime the viscosity of PASK made from hydrolysis of PASK/SB (H-PASK/SB) was greatly improved from 0.135 dL/g to 0.605 dL/g.