First,the group crossed product over the Hopf group-algebras is defined,and the necessary and sufficient conditions for the group crossed product to be a group algebra are given.The cleft extension theory of the Hopf ...First,the group crossed product over the Hopf group-algebras is defined,and the necessary and sufficient conditions for the group crossed product to be a group algebra are given.The cleft extension theory of the Hopf group algebra is introduced,and it is proved that the crossed product of the Hopf group algebra is equivalent to the cleft extension.The necessary and sufficient conditions for the crossed product equivalence of two Hopf groups are then given.Finally,combined with the equivalence theory of the Hopf group crossed product and cleft extension,the group crossed product constructed by the general 2-cocycle as algebra is determined to be isomorphic to the group crossed product of the 2-cocycle with a convolutional invertible map of the 2-cocycle.The unit property of a general 2-cocycle is equivalent to the convolutional invertible map of the 2-cocycle,and the combination condition of the weak action is equivalent to the convolutional invertible map of the 2-cocycle and the combination condition of the weak action.Similarly,crossed product algebra constructed by the general 2-cocycle is isomorphic to the Hopfπ-crossed product algebra constructed by the 2-cocycle with a convolutional invertible map.展开更多
AIM： TO determine the influence of excision repair cross complementing group 1 （ERCC1） codon 118 polymorphism and mRNA level on the clinical outcome of gastric cancer patients treated with oxaliplatin-based adjuvan...AIM： TO determine the influence of excision repair cross complementing group 1 （ERCC1） codon 118 polymorphism and mRNA level on the clinical outcome of gastric cancer patients treated with oxaliplatin-based adjuvant chemotherapy. METHODS： Eighty-nine gastric cancer patients treated with oxalipatin-based adjuvant chemotherapy were included in this study. ERCC1 codon 118 C/T polymorphism was tested by polymerase chain reaction-ligation detection reaction （PCR-LDR） method in peripheral blood lymphocytes of those patients; and the intratumoral ERCC1 mRNA expression was measured using reverse transcription PCR in 62 patients whose tumor tissue specimens were available. RESULTS： No significant relationship was found between ERCC1 codon 118 polymorphism and ERCC1 mRNA level. The median relapse-free and overall survival period was 20.1 mo and 28.4 too, respectively. The relapse-free and overall survivals in patients with lOW levels of ERCC1 mRNA were significantly longer than those in patients with high levels （P 〈 0.05）, while there was no significant association found between ERCC1 118 genotypes and the disease prognosis. Multivariate analysis also showed that ERCC1 mRNA level was a potential predictor for relapse and survival in gastric cancer patients treated with oxaliplatin-based adjuvant chemotherapy （P 〈 0.05）. CONCLUSION： ERCC1 codon 118 polymorphisrn has no significant impact on ERCC1 rnRNA expression, and the intraturnoral ERCC1 rnRNA level but not codon 118 polymorphisrn may be a useful predictive parameter for the relapse and survival of gastric cancer patients receiving oxaliplatin-based adjuvant chemotherapy.展开更多
Recently Turaev generalized the notion of a tensor category to that of a crossed group category.In[5]the authors constructed the representation category Rep(H) of a T-coalgebra H.In[2]the authors introduced the notion...Recently Turaev generalized the notion of a tensor category to that of a crossed group category.In[5]the authors constructed the representation category Rep(H) of a T-coalgebra H.In[2]the authors introduced the notions of a weak tensor category to characterize a weak bialgebra and a weak Hopf algebra.This paper is based on these ideas to naturally introduce the notions of a weak T-category and a weak braided T-category which are not under the usual way and prove that the categories of representations of a weak T-coalgebra and a weak braided T-coalgebra are a weak T-category and a weak braided T-category respectively.Furthermore we also discuss some properties of weak T-category.展开更多
Background Several studies have evaluated the association between polymorphisms of encoding excision repair cross complementation group 1 （ERCC1） enzyme and lung cancer risk in diverse populations but with conflicti...Background Several studies have evaluated the association between polymorphisms of encoding excision repair cross complementation group 1 （ERCC1） enzyme and lung cancer risk in diverse populations but with conflicting results.By pooling the relatively small samples in each study, it is possible to perform a meta-analysis of the evidence by rigorous methods.Methods Embase, Ovid, Medline and Chinese National Knowledge Infrastructure were searched. Additional studies were identified from references in original studies or review articles. Articles meeting the inclusion criteria were reviewed systematically, and the reported data were aggregated using the statistical techniques of meta-analysis.Results We found 3810 cases with lung cancer and 4332 controls from seven eligible studies. T19007C polymorphism showed no significant effect on lung cancer risk （C allele vs. T allele： odds ratio （OR）=0.91, 95% confidence interval （CI）=0.80-1.04; CC vs. TT： OR=0.76, 95% CI=0.56-1.02; CC vs. （CT＋TT）： OR=0.96, 95% CI=-0.84-1.10）. Similarly,there was no significant main effects for T19007C polymorphism on lung cancer risk when stratified analyses by ethnicity （Chinese or Caucasian）. No significant association was found between C8092A polymorphism （3060 patients and 2729 controls） and the risk of lung cancer （A allele vs. C allele： OR=1.03, 95% CI=0.95-1.11; AA vs. CC： OR=1.08, 95% CI=-0.88-1.33; AA vs. （AC＋CC）： OR=1.08, 95% CI=-0.88-1.31）.Conclusion We found little evidence of an association between the T1900C or C8092A polymorphisms of ERCC 1 and the risk of lung cancer in Caucasian or Han Chinese people.展开更多
Aim:Excision repair cross complementation group 1(ERCC1)has a key role in enhanced DNA damage repair caused by oxaliplatin-based therapy and may lead to resistance of these platinum drugs in colorectal cancer(CRC)pati...Aim:Excision repair cross complementation group 1(ERCC1)has a key role in enhanced DNA damage repair caused by oxaliplatin-based therapy and may lead to resistance of these platinum drugs in colorectal cancer(CRC)patients.Hence,the present preliminary study aimed to explore the role of ERCC1 C/T polymorphism at codon 118 as well as its immunoreactivity in patients with primary CRC.Methods:ERCC1 polymorphism was studied using PCR-RFLP and ERCC1 protein expression was examined by immunohistochemistry in 50 CRC patients.Results:ERCC1 codon 118 C/T polymorphism analysis reported the predominance of C/T(52%)genotype as compared to C/C(38%)and T/T(10%)genotypes.Furthermore,72%of patients showed positive ERCC1 protein expression.Significant correlation was not observed between clinicopathological parameters and ERCC1 polymorphism,while ERCC1 protein expression significantly correlated only with tumor site(colon vs.rectum)(P=0.046).Further,the present study failed to demonstrate the role of ERCC1 C118T polymorphism or protein expression as useful prognostic markers in CRC patients.Conclusion:ERCC1-positive protein expression may be a useful marker for rectal cancer patients.However,further evaluation in a larger set of CRC patients is required to better understand the role of ERCC1.展开更多
基金The National Natural Science Foundation of China(No.11871144,11901240).
文摘First,the group crossed product over the Hopf group-algebras is defined,and the necessary and sufficient conditions for the group crossed product to be a group algebra are given.The cleft extension theory of the Hopf group algebra is introduced,and it is proved that the crossed product of the Hopf group algebra is equivalent to the cleft extension.The necessary and sufficient conditions for the crossed product equivalence of two Hopf groups are then given.Finally,combined with the equivalence theory of the Hopf group crossed product and cleft extension,the group crossed product constructed by the general 2-cocycle as algebra is determined to be isomorphic to the group crossed product of the 2-cocycle with a convolutional invertible map of the 2-cocycle.The unit property of a general 2-cocycle is equivalent to the convolutional invertible map of the 2-cocycle,and the combination condition of the weak action is equivalent to the convolutional invertible map of the 2-cocycle and the combination condition of the weak action.Similarly,crossed product algebra constructed by the general 2-cocycle is isomorphic to the Hopfπ-crossed product algebra constructed by the 2-cocycle with a convolutional invertible map.
基金Supported by A Grant From Scientif ic and Technologic Bureau of Wuxi, CLZ00612
文摘AIM： TO determine the influence of excision repair cross complementing group 1 （ERCC1） codon 118 polymorphism and mRNA level on the clinical outcome of gastric cancer patients treated with oxaliplatin-based adjuvant chemotherapy. METHODS： Eighty-nine gastric cancer patients treated with oxalipatin-based adjuvant chemotherapy were included in this study. ERCC1 codon 118 C/T polymorphism was tested by polymerase chain reaction-ligation detection reaction （PCR-LDR） method in peripheral blood lymphocytes of those patients; and the intratumoral ERCC1 mRNA expression was measured using reverse transcription PCR in 62 patients whose tumor tissue specimens were available. RESULTS： No significant relationship was found between ERCC1 codon 118 polymorphism and ERCC1 mRNA level. The median relapse-free and overall survival period was 20.1 mo and 28.4 too, respectively. The relapse-free and overall survivals in patients with lOW levels of ERCC1 mRNA were significantly longer than those in patients with high levels （P 〈 0.05）, while there was no significant association found between ERCC1 118 genotypes and the disease prognosis. Multivariate analysis also showed that ERCC1 mRNA level was a potential predictor for relapse and survival in gastric cancer patients treated with oxaliplatin-based adjuvant chemotherapy （P 〈 0.05）. CONCLUSION： ERCC1 codon 118 polymorphisrn has no significant impact on ERCC1 rnRNA expression, and the intraturnoral ERCC1 rnRNA level but not codon 118 polymorphisrn may be a useful predictive parameter for the relapse and survival of gastric cancer patients receiving oxaliplatin-based adjuvant chemotherapy.
基金Supported by the Natural Science Foundation of Shandong Province(ZR2012AL02)
文摘Recently Turaev generalized the notion of a tensor category to that of a crossed group category.In[5]the authors constructed the representation category Rep(H) of a T-coalgebra H.In[2]the authors introduced the notions of a weak tensor category to characterize a weak bialgebra and a weak Hopf algebra.This paper is based on these ideas to naturally introduce the notions of a weak T-category and a weak braided T-category which are not under the usual way and prove that the categories of representations of a weak T-coalgebra and a weak braided T-coalgebra are a weak T-category and a weak braided T-category respectively.Furthermore we also discuss some properties of weak T-category.
文摘Background Several studies have evaluated the association between polymorphisms of encoding excision repair cross complementation group 1 （ERCC1） enzyme and lung cancer risk in diverse populations but with conflicting results.By pooling the relatively small samples in each study, it is possible to perform a meta-analysis of the evidence by rigorous methods.Methods Embase, Ovid, Medline and Chinese National Knowledge Infrastructure were searched. Additional studies were identified from references in original studies or review articles. Articles meeting the inclusion criteria were reviewed systematically, and the reported data were aggregated using the statistical techniques of meta-analysis.Results We found 3810 cases with lung cancer and 4332 controls from seven eligible studies. T19007C polymorphism showed no significant effect on lung cancer risk （C allele vs. T allele： odds ratio （OR）=0.91, 95% confidence interval （CI）=0.80-1.04; CC vs. TT： OR=0.76, 95% CI=0.56-1.02; CC vs. （CT＋TT）： OR=0.96, 95% CI=-0.84-1.10）. Similarly,there was no significant main effects for T19007C polymorphism on lung cancer risk when stratified analyses by ethnicity （Chinese or Caucasian）. No significant association was found between C8092A polymorphism （3060 patients and 2729 controls） and the risk of lung cancer （A allele vs. C allele： OR=1.03, 95% CI=0.95-1.11; AA vs. CC： OR=1.08, 95% CI=-0.88-1.33; AA vs. （AC＋CC）： OR=1.08, 95% CI=-0.88-1.31）.Conclusion We found little evidence of an association between the T1900C or C8092A polymorphisms of ERCC 1 and the risk of lung cancer in Caucasian or Han Chinese people.
基金supported by Gujarat Cancer Society(GCS)/Gujarat Cancer and Research Institute(GCRI)and Directorate of Medical Education and Research(DMER).
文摘Aim:Excision repair cross complementation group 1(ERCC1)has a key role in enhanced DNA damage repair caused by oxaliplatin-based therapy and may lead to resistance of these platinum drugs in colorectal cancer(CRC)patients.Hence,the present preliminary study aimed to explore the role of ERCC1 C/T polymorphism at codon 118 as well as its immunoreactivity in patients with primary CRC.Methods:ERCC1 polymorphism was studied using PCR-RFLP and ERCC1 protein expression was examined by immunohistochemistry in 50 CRC patients.Results:ERCC1 codon 118 C/T polymorphism analysis reported the predominance of C/T(52%)genotype as compared to C/C(38%)and T/T(10%)genotypes.Furthermore,72%of patients showed positive ERCC1 protein expression.Significant correlation was not observed between clinicopathological parameters and ERCC1 polymorphism,while ERCC1 protein expression significantly correlated only with tumor site(colon vs.rectum)(P=0.046).Further,the present study failed to demonstrate the role of ERCC1 C118T polymorphism or protein expression as useful prognostic markers in CRC patients.Conclusion:ERCC1-positive protein expression may be a useful marker for rectal cancer patients.However,further evaluation in a larger set of CRC patients is required to better understand the role of ERCC1.
