Supported by NSFC(Grant No.12101451);Tianjin Municipal Science and Technology Commission(Grant No.22JCQNJC00470)。
In this paper,we derive the optimal Cauchy–Schwarz inequalities on a class of Hilbert and Krein modules over a Clifford algebra,which heavily depend on the Clifford algebraic structure.The obtained inequalities furth...
Supported by the National Natural Science Foundation of China(Grant Nos.11871404,11971398 and 12131018)。
Let A be a basic connected finite dimensional associative algebra over an algebraically closed field k and G be a cyclic group.There is a quiver QGwith relationsρG such that the skew group algebras A[G]is Morita equi...
Supported by the National Natural Science Foundation of China(Grant No.11301169);Hu’nan Provincial Natural Science Foundation of China(Grant No.2017JJ2055);Scientific Research Fund of Hu’nan Provincial Education Department(Grant No.18A432)。
The skewness of a graph G,denoted by sk(G),is the minimum number of edges in G whose removal results in a planar graph.It is an important parameter that measures how close a graph is to planarity,and it is complementa...
Supported by National Natural Science Foundation of China(NSFC)(Grant Nos.11671382 and 11301512);Key Laboratory of Random Complex Structures and Data Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(Grant No.2008DP173182);CAS Key Project of Frontier Sciences(Grant No.QYZDJ-SSW-JSC003);National Center for Mathematics and Interdisciplinary Sciences。
In this paper, for a discontinuous skew-product transformation with the integrable observation function, we obtain uniform ergodic theorem and semi-uniform ergodic theorem. The main assumptions are that discontinuity ...
Supported by the Natural Science Foundation of China(Grant No.11861061)。
We know that in Ringel-Hall algebra of Dynkin type,the set of all skew commutator relations between the iso-classes of indecomposable modules forms a minimal Grobner-Shirshov basis,and the corresponding irreducible el...
Supported by National Natural Science Foundation of China(Grant No.11571150)
In this paper, we study the class S of skew Motzkin paths, i.e., of those lattice paths that are in the first quadrat, which begin at the origin, end on the x-axis, consist of up steps U =(1, 1),down steps D =(1,-1...
Supported by National Natural Science Foundation of China(Grant Nos.11526123,11401273);the Natural Science Foundation of Shandong Province,China(Grant No.ZR2015PA010)
Let A be a factor. For A, B ∈4, define by [A, B]. = AB- BA* the skew Lie product of A and B. In this article, it is proved that a map φ: A- A satisfies φ([[A, B]., C].) = [[φ(A), B]., C]. + [[A, φ(B)]. C...
Supported by Natural Science Foundation of Shandong Province,China(Grant No.ZR2015Item PA010);National Natural Science Foundation of China(Grant Nos.11526123 and 11401273)
Let R be a unital *-ring with the unit I. Assume that R contains a symmetric idempotent P which satisfies ARP= 0 implies A = 0 and AR(I - P) = 0 implies A = 0. In this paper, it is shown that a surjective map Ф:...
supported by National Natural Science Foundation of China(Grant No.11401148);Ministry of Education of China,Humanities and Social Science Projects(Grant Nos.14YJC910005,10YJC790184);Zhejiang Provincial Natural Science Foundation of China(Grant No.LY14A010030);Zhejiang Provincial Philosophy and Social Science Planning Project of China(Grant No.13NDJC089YB);Houji Scholar Fund of Northwest A and F University,China
For the linear mixed model with skew-normal random effects, this paper gives the density function, moment generating function and independence conditions. The noncentral skew chi-square distribution is defined and its...
Supported by National Natural Science Foundation of China (Grant No. 10571011)
We show in a certain Lie-algebra, the connections between the Lie subalgebra G+ := G-t-G* 4- [G, G*], generated by a Lie subalgebra G, and the properties of G. This allows us to investigate some useful information...