In this article,we present the multiplicative Jordan decomposition in integral group ring of group K8 × C5,where K8 is the quaternion group of order 8.Thus,we give a positive answer to the question raised by Hale...In this article,we present the multiplicative Jordan decomposition in integral group ring of group K8 × C5,where K8 is the quaternion group of order 8.Thus,we give a positive answer to the question raised by Hales A W,Passi I B S and Wilson L E in the paper 'The multiplicative Jordan decomposition in group rings II.展开更多
In this paper, we introduce the concept of signed additive fuzzy measure on a class of fuzzy sets, then, on certain condition, a series of decomposition theorems of signed additive fuzzy measure are proved.
The concept of fuzzy measure was introduced by Sugeno in 1974. A notion of signed fuzzy measure is introduced in this paper, and its elementary properties are briefly discussed. An analogue of Hahn decomposition theo...The concept of fuzzy measure was introduced by Sugeno in 1974. A notion of signed fuzzy measure is introduced in this paper, and its elementary properties are briefly discussed. An analogue of Hahn decomposition theorem is established under the null-null-additive condition. A version of the Jordan decomposition theorem is proved under the null-additive condition.展开更多
A Nash group is said to be almost linear if it has a Nash representation with a finite kernel. Structures and basic properties of these groups are studied.
In this paper we give an alternative computation of integral spinor norms over dyadic local fields by using the Jordan decomposition of W-type.In particular,we emphasize the striking similarity between the theory over...In this paper we give an alternative computation of integral spinor norms over dyadic local fields by using the Jordan decomposition of W-type.In particular,we emphasize the striking similarity between the theory over dyadic local fields and that over the local fields of characteristic 2.展开更多
文摘In this article,we present the multiplicative Jordan decomposition in integral group ring of group K8 × C5,where K8 is the quaternion group of order 8.Thus,we give a positive answer to the question raised by Hales A W,Passi I B S and Wilson L E in the paper 'The multiplicative Jordan decomposition in group rings II.
文摘In this paper, we introduce the concept of signed additive fuzzy measure on a class of fuzzy sets, then, on certain condition, a series of decomposition theorems of signed additive fuzzy measure are proved.
基金Supported by the National Natural Science Foundationof China( Nos. 6 0 2 740 5 0 and70 1710 36 )
文摘The concept of fuzzy measure was introduced by Sugeno in 1974. A notion of signed fuzzy measure is introduced in this paper, and its elementary properties are briefly discussed. An analogue of Hahn decomposition theorem is established under the null-null-additive condition. A version of the Jordan decomposition theorem is proved under the null-additive condition.
基金supported by the National Natural Science Foundation of China(Nos.11222101,11321101)
文摘A Nash group is said to be almost linear if it has a Nash representation with a finite kernel. Structures and basic properties of these groups are studied.
基金supported by the Morningside Center of Mathematicssupported by National Natural Science Foundation(Grant Nos.10325105,10531060)
文摘In this paper we give an alternative computation of integral spinor norms over dyadic local fields by using the Jordan decomposition of W-type.In particular,we emphasize the striking similarity between the theory over dyadic local fields and that over the local fields of characteristic 2.
