In this letter, we present a kind of new trap-door one-way function over algebraic integers. We shall first prove the following theorems. Theorem 1. Suppose that Q（i） is a complex number field,D={a+bi: a, b∈Z} wher...In this letter, we present a kind of new trap-door one-way function over algebraic integers. We shall first prove the following theorems. Theorem 1. Suppose that Q（i） is a complex number field,D={a+bi: a, b∈Z} where Z denotes the domain of rational integers. Let m=q1n1…qknk, qj（?）3 （mod 4） （j=1, …, k）, where q1,…,qk are distinct primes. Let s>0,展开更多
In this paper,we introduce the harmonic Hardy space on Tn and study some algebraic properties of dual Toeplitz operator on the harmonic Hardy space on Tn.
In this paper, we determine the classification up to isomorphism and the central extensions of a class of Lie algebras B（q） of Block type, where q is a non-zero complex number.Our results generalize some previous re...In this paper, we determine the classification up to isomorphism and the central extensions of a class of Lie algebras B（q） of Block type, where q is a non-zero complex number.Our results generalize some previous results.展开更多
We introduce the notion of a quadratic graph,which is a graph whose eigenvalues are integral or quadratic algebraic integral,and we determine nine infinite families of quadratic starlike trees,which are just all the q...We introduce the notion of a quadratic graph,which is a graph whose eigenvalues are integral or quadratic algebraic integral,and we determine nine infinite families of quadratic starlike trees,which are just all the quadratic starlike trees including integral starlike trees.Thus,the quadratic starlike trees are completely characterized.The expressions for characteristic polynomials of quadratic starlike trees are also given.展开更多
This paper deals with homology groups induced by the exterior algebra generated by the simplicial compliment of a simplicial complex K. By using ech homology and Alexander duality, the authors prove that there is a du...This paper deals with homology groups induced by the exterior algebra generated by the simplicial compliment of a simplicial complex K. By using ech homology and Alexander duality, the authors prove that there is a duality between these homology groups and the simplicial homology groups of K.展开更多
For a quantized enveloping algebra of finite type, one can associate a natural monomial to a dominant weight. We show that these monomials for types A5 and D4 are semitight(i.e., a Z-linear combination of elements in ...For a quantized enveloping algebra of finite type, one can associate a natural monomial to a dominant weight. We show that these monomials for types A5 and D4 are semitight(i.e., a Z-linear combination of elements in the canonical basis) by a direct calculation.展开更多
基金Project supported by the Science Fund of Academia Sinica
文摘In this letter, we present a kind of new trap-door one-way function over algebraic integers. We shall first prove the following theorems. Theorem 1. Suppose that Q（i） is a complex number field,D={a+bi: a, b∈Z} where Z denotes the domain of rational integers. Let m=q1n1…qknk, qj（?）3 （mod 4） （j=1, …, k）, where q1,…,qk are distinct primes. Let s>0,
基金Supported by the National Natural Science Foundation of China(Grant Nos.1167106511301047)
文摘In this paper,we introduce the harmonic Hardy space on Tn and study some algebraic properties of dual Toeplitz operator on the harmonic Hardy space on Tn.
基金Supported by the National Natural Science Foundation of China(Grant Nos.11201253,11401570)the Natural Science Foundation of Jiangsu Province(Grant No.BK20140177)the Scientific Research Projects(Youth Project)of Xuzhou Institute of Technology(Grant No.XKY2013315)
文摘In this paper, we determine the classification up to isomorphism and the central extensions of a class of Lie algebras B（q） of Block type, where q is a non-zero complex number.Our results generalize some previous results.
基金Supported by National Natural Science Foundation of China(Nos.11971274,12061074,11671344).
文摘We introduce the notion of a quadratic graph,which is a graph whose eigenvalues are integral or quadratic algebraic integral,and we determine nine infinite families of quadratic starlike trees,which are just all the quadratic starlike trees including integral starlike trees.Thus,the quadratic starlike trees are completely characterized.The expressions for characteristic polynomials of quadratic starlike trees are also given.
基金supported by the National Natural Science Foundation of China(Nos.11371093,11261062,11471167)
文摘This paper deals with homology groups induced by the exterior algebra generated by the simplicial compliment of a simplicial complex K. By using ech homology and Alexander duality, the authors prove that there is a duality between these homology groups and the simplicial homology groups of K.
文摘For a quantized enveloping algebra of finite type, one can associate a natural monomial to a dominant weight. We show that these monomials for types A5 and D4 are semitight(i.e., a Z-linear combination of elements in the canonical basis) by a direct calculation.
