In this paper, we obtain some sufficient and necessary conditions for indecomposable positive definite integral lattices with discriminants 2, 3, 4 and 5 over Z being additively indecomposable lattices. Using these re...
supported by National Natural Science Foundation of China (Grant No. 11701430), supported by National Natural Science Foundation of China (Grant No. 11971461)。
In this paper,we calculate the 2-local unstable homotopy groups of indecomposable A^(2)_(3)-complexes.The main technique used is analysing the homotopy property of J(A,X),defined by Gray(1973) for a CW-pair(X,A),which...
This work was supported by the Fundamental Research Funds for the Central Universities of China(2015QNA38);the Natural Science Foundation of China(Grant No.61972400).
1 Introduction Boolean functions have important applications in stream ciphers and block ciphers.Over the last decades,the constructions of cryptographic Boolean functions have paid a lot of attention[1,2].Direct sum ...
Supported by National Natural Science Foundation of China(Grant No.11861061).
In the Ringel-Hall algebra of Dynkin type,the set of all commutator relations between the isoclasses of indecomposable representations forms a minimal Grobner-Shirshov basis and the set of the corresponding irreducibl...
support of the China Scholarship Council,the Cultivation Programme for Young Backbone Teachers in Henan University of Technology,and the NSFC(11926330,11926326,11971189,11771356).
For a group G,we produce upper and lower bounds for the sum of the entries of the Brauer character table of G and the projective indecomposable character table of G.When G is aπ-separable group,we show that the sum o...
Let k be an infinite field,A be a finite set of k,and Q∈k[x](with x=(x_(1),...,X_(n))and n≥2)be a noncons taut polynomial.The main goal of this paper is to construct a polynomial P(x)∈k[x]with suitably large partia...
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.11701430);supported by National Natural Science Foundation of China(Grant Nos.11661131004 and 11131008)。
In this paper,we classify the congruence classes of Fn(2)5-polyhedra,i.e.,(n-1)-connected,at most(n+5)-dimensional polyhedra with 2-torsion free homology.The proof relies on the matrix problem technique which was deve...
Short Retraction Notice? The paper does not meet the standards of "Advances in Pure Mathematics".? This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows...
supported in part by the Natural Science Foundation of China(Grant Nos.11731010,11471270&11471271)
Suppose that X, Y are two real Banach Spaces. We know that for a standard ε-isometry f : X → Y, the weak stability formula holds and by applying the formula we can induce a closed subspace N of *. In this paper, by ...