A finite group is inseparable, it does not split over any proper nontrivial normal subgroup; that is, if it has no nontrivial semidirect product decompositions. This paper investigates two classes of finite inseparabl...A finite group is inseparable, it does not split over any proper nontrivial normal subgroup; that is, if it has no nontrivial semidirect product decompositions. This paper investigates two classes of finite inseparable p-groups and, for p ≥ 3, establishes a necessary and sufficient condition for insep- arability.展开更多
Let k be a field of characteristic p≠0.The main purpose of this paper is to extend the results and definitions of i-modularity that have already been estalished by Chellali and the present author when[k:k^(P)]is fini...Let k be a field of characteristic p≠0.The main purpose of this paper is to extend the results and definitions of i-modularity that have already been estalished by Chellali and the present author when[k:k^(P)]is finite to the case of finite irrationality degree extensions.A number of properties of i-modular extensions are determined and examples are presented illustrating the results.In particular,we characterize some special cases.展开更多
Mankind has lived in the earth for countless years,but until now,people are not really understand the connotation of the Earth.We know that the earth composition including the lithosphere,asthenosphere,mantle,and core...Mankind has lived in the earth for countless years,but until now,people are not really understand the connotation of the Earth.We know that the earth composition including the lithosphere,asthenosphere,mantle,and core.The lithosphere supports all the life on Earth.For a long time,geoscientists trying to use all kind of methods such as geological,geophysical,and geochemical methods to detect and study the earth,but our knowledge about earth are mostly indirect.Through the direct observation to the lithosphere,people can understand and recognize the plate movement of ocean and the mainland,crustal stress,earthquakes,volcanic processes,deep resources,the origins of life,global climate change,and biodiversity.They are all the basis of a series of geoscience problems(Su et al.,2010). For our daily lives,as we all know,against landslides,mudslides and other geological disasters,people's responses can only be monitoring,prevention and countermeasures are needed.One of the most important technical means is the drilling methods.For example,through engineering investigation drilling,people can understand the overall structure of the landslide.Through anchor nails,bolt,cable,curtain grouting,soil modification,anti-slide bored piles of construction,people can prevent landslides,collapse,and other geological disasters. For geosciences,earth scientists are facing a lot of challenges.Plate tectonic theory is one of the 20th century’s major scientific achievements.The continental drift assumptions put forward in the early 20th century,but until 1968,the'Geluoma?Challenger'ocean drilling vessel belong to United States had drilled several hundred holes in the ocean,the theory of seafloor spreading and plate subduction model has been confirmed directly by drilling.However,many problems cannot be explained by'Plate theory'on land.A continental dynamics theory is initiating and developing based on the internal driving force of continent.This heralded a landmark geological revolution is coming soon. At the same time,the 21st century展开更多
In this letter, we shall show how to construct constrained Bell-type inequality for a generaltwo-party system, and violating this inequality is equivalent to being inseparable. For 2 (×) 2 system, the maximum vio...In this letter, we shall show how to construct constrained Bell-type inequality for a generaltwo-party system, and violating this inequality is equivalent to being inseparable. For 2 (×) 2 system, the maximum violation is 3,while for 3 (×) 3 system, the largest violation is 11/3.展开更多
In this article,we investigate the shift of Abbes and Saito’s ramification filtrations of the absolute Galois group of a complete discrete valuation field of positive characteristic under a purely inseparable extensi...In this article,we investigate the shift of Abbes and Saito’s ramification filtrations of the absolute Galois group of a complete discrete valuation field of positive characteristic under a purely inseparable extension.We also study a functoriality property for characteristic forms.展开更多
Problems about density are remarkable in the theory of degrees of unsolvability. Owing to their difficulty few results have been obtained till now. Sacks 1964 showed that the r. e. degrees are dense; Fejer 1980 showed...Problems about density are remarkable in the theory of degrees of unsolvability. Owing to their difficulty few results have been obtained till now. Sacks 1964 showed that the r. e. degrees are dense; Fejer 1980 showed that nonbraching degrees are dense in the r.e. degrees, this is the first nontrivial definable subset of the degrees known to be dense.展开更多
文摘A finite group is inseparable, it does not split over any proper nontrivial normal subgroup; that is, if it has no nontrivial semidirect product decompositions. This paper investigates two classes of finite inseparable p-groups and, for p ≥ 3, establishes a necessary and sufficient condition for insep- arability.
文摘Let k be a field of characteristic p≠0.The main purpose of this paper is to extend the results and definitions of i-modularity that have already been estalished by Chellali and the present author when[k:k^(P)]is finite to the case of finite irrationality degree extensions.A number of properties of i-modular extensions are determined and examples are presented illustrating the results.In particular,we characterize some special cases.
文摘Mankind has lived in the earth for countless years,but until now,people are not really understand the connotation of the Earth.We know that the earth composition including the lithosphere,asthenosphere,mantle,and core.The lithosphere supports all the life on Earth.For a long time,geoscientists trying to use all kind of methods such as geological,geophysical,and geochemical methods to detect and study the earth,but our knowledge about earth are mostly indirect.Through the direct observation to the lithosphere,people can understand and recognize the plate movement of ocean and the mainland,crustal stress,earthquakes,volcanic processes,deep resources,the origins of life,global climate change,and biodiversity.They are all the basis of a series of geoscience problems(Su et al.,2010). For our daily lives,as we all know,against landslides,mudslides and other geological disasters,people's responses can only be monitoring,prevention and countermeasures are needed.One of the most important technical means is the drilling methods.For example,through engineering investigation drilling,people can understand the overall structure of the landslide.Through anchor nails,bolt,cable,curtain grouting,soil modification,anti-slide bored piles of construction,people can prevent landslides,collapse,and other geological disasters. For geosciences,earth scientists are facing a lot of challenges.Plate tectonic theory is one of the 20th century’s major scientific achievements.The continental drift assumptions put forward in the early 20th century,but until 1968,the'Geluoma?Challenger'ocean drilling vessel belong to United States had drilled several hundred holes in the ocean,the theory of seafloor spreading and plate subduction model has been confirmed directly by drilling.However,many problems cannot be explained by'Plate theory'on land.A continental dynamics theory is initiating and developing based on the internal driving force of continent.This heralded a landmark geological revolution is coming soon. At the same time,the 21st century
文摘In this letter, we shall show how to construct constrained Bell-type inequality for a generaltwo-party system, and violating this inequality is equivalent to being inseparable. For 2 (×) 2 system, the maximum violation is 3,while for 3 (×) 3 system, the largest violation is 11/3.
文摘In this article,we investigate the shift of Abbes and Saito’s ramification filtrations of the absolute Galois group of a complete discrete valuation field of positive characteristic under a purely inseparable extension.We also study a functoriality property for characteristic forms.
文摘Problems about density are remarkable in the theory of degrees of unsolvability. Owing to their difficulty few results have been obtained till now. Sacks 1964 showed that the r. e. degrees are dense; Fejer 1980 showed that nonbraching degrees are dense in the r.e. degrees, this is the first nontrivial definable subset of the degrees known to be dense.
