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 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 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 ...
Supported by National Natural Science Foundation of China(Grant Nos.11131008,61173009)
We classify the stable homotopy types of (n- 1)-connected, (n + k)-dimensional polyhedra with 2 and 3-torsion free homologies for k 〈 6. The technique used is matrix problem (bimodule categories) which is give...
Supported by National Natural Science Foundation of China (Grant Nos. 10971051 and 11071056)
A family (X, B1),(X, B2),..., (X, Bq) of q STS(v)s is a λ-fold large set of STS(v) and denoted by LSTSλ(v) if every 3-subset of X is contained in exactly A STS(v)s of the collection. It is indecomposab...
Research supported by NSFC(Grant No.10471114 and No.10471025)
This paper shows that every non-separable hereditarily indecomposable Banach space admits an equivalent strictly convex norm, but its bi-dual can never have such a one; consequently, every non-separable hereditarily i...
Project partly supported by the National Natural Science Foundation of China
Let X be a generic smooth irreducible complex projective curve of genus g with g≥4. In this paper, we generalize the existence theorem of special divisors to high dimensional indecomposable vector bundles. We give a ...
In this paper, for any given natural numbers n and a, we can construct explicitly positive definite indecomposable integral Hermitian forms of rank n over Q(-31/2) with discriminant a, with the following te...