In this paper,we focus on combining the theories of fuzzy soft sets with Γ-modules,and establishing a new framework for fuzzy soft Γ-submodules.The main contributions of the paper are 3-fold.First,we present the con...In this paper,we focus on combining the theories of fuzzy soft sets with Γ-modules,and establishing a new framework for fuzzy soft Γ-submodules.The main contributions of the paper are 3-fold.First,we present the concepts of（R,S）-bi-Γ-submodules,quasi-Γ-submodules and regular Γ-modules.Meanwhile,some illustrative examples are given to show the rationality of the definitions introduced in this paper.Second,several new kinds of generalized fuzzy soft Γ-submodules are proposed,and related properties and mutual relationships are also investigated.Third,we discover some intrinsic connections between the generalized fuzzy soft Γ-submodules presented in this paper and crisp Γ-submodules,and describe the relationships between regular Γ-modules and the generalized fuzzy soft Γ-submodules presented in this paper.展开更多
This work reported a convenient method for the preparation of enantiomerically pure 6-aryl-2,2＇-dihydroxy-1, l＇- binaphthyl derivatives starting from the commercially available （R）-2,2＇-hydroxy-l, l＇-binaphthyl ...This work reported a convenient method for the preparation of enantiomerically pure 6-aryl-2,2＇-dihydroxy-1, l＇- binaphthyl derivatives starting from the commercially available （R）-2,2＇-hydroxy-l, l＇-binaphthyl [（R）-I] via bromi- nation, hydrolysis and Suzuki cross coupling reaction. This novel synthetie method was characterized with high re- gioselectivity, simple operation, mild reaction conditions, and excellent yield （up to 73%）. On the other hand, we synthesized the target unknown compounds, which were confirmed by IR, 1H NMR, 13C NMR, MS and elementary analysis.展开更多
基金supported by national 863 project(Grant No.2004AA625030,2001AA620503)NNSFC(Grant No.20432030)Key Innovative Project of the Academy(Grant No.KZCX3-SW-215).
基金Supported by the National Natural Science Foundation of China (61175055)the Innovation Term of Higher Education of Hubei Province,China (T201109)+1 种基金the Natural Science Foundation of Hubei Province (2012FFB01101)the Natural Science Foundation of Education Committee of Hubei Province (D20131903)
文摘In this paper,we focus on combining the theories of fuzzy soft sets with Γ-modules,and establishing a new framework for fuzzy soft Γ-submodules.The main contributions of the paper are 3-fold.First,we present the concepts of（R,S）-bi-Γ-submodules,quasi-Γ-submodules and regular Γ-modules.Meanwhile,some illustrative examples are given to show the rationality of the definitions introduced in this paper.Second,several new kinds of generalized fuzzy soft Γ-submodules are proposed,and related properties and mutual relationships are also investigated.Third,we discover some intrinsic connections between the generalized fuzzy soft Γ-submodules presented in this paper and crisp Γ-submodules,and describe the relationships between regular Γ-modules and the generalized fuzzy soft Γ-submodules presented in this paper.
文摘This work reported a convenient method for the preparation of enantiomerically pure 6-aryl-2,2＇-dihydroxy-1, l＇- binaphthyl derivatives starting from the commercially available （R）-2,2＇-hydroxy-l, l＇-binaphthyl [（R）-I] via bromi- nation, hydrolysis and Suzuki cross coupling reaction. This novel synthetie method was characterized with high re- gioselectivity, simple operation, mild reaction conditions, and excellent yield （up to 73%）. On the other hand, we synthesized the target unknown compounds, which were confirmed by IR, 1H NMR, 13C NMR, MS and elementary analysis.
