Let R be a prime ring and m, n be fixed non-negative integers such that m+n ≠ 0. Suppose L is an (m+m+1)-power closed Lie ideal, and this means ure+n+1 ∈ L for all u ∈ L. If charR = 0 or a prime p 〉 2(m ...Let R be a prime ring and m, n be fixed non-negative integers such that m+n ≠ 0. Suppose L is an (m+m+1)-power closed Lie ideal, and this means ure+n+1 ∈ L for all u ∈ L. If charR = 0 or a prime p 〉 2(m + n), we characterize the additive maps d: L → R satisfying d(um+n+1) = (m -+n + 1)umd(u)un (resp., d(um+n+l) = umd(u)un) for all u ∈ L.展开更多
By using Frobenius maps and F-stable representations,we count the number of isomor- phism classes of indecomposable representations with the fixed dimension vector of a species of type _n over a finite field,first,and...By using Frobenius maps and F-stable representations,we count the number of isomor- phism classes of indecomposable representations with the fixed dimension vector of a species of type _n over a finite field,first,and then,as an application,give a q-analogue of the Weyl-Kac denominator identity of type _n.展开更多
A new identity-based (ID-based) aggregate signature scheme which does not need any kind of interaction among the signers was proposed to provide partial aggregation. Compared with the existing ID-based aggregate sig...A new identity-based (ID-based) aggregate signature scheme which does not need any kind of interaction among the signers was proposed to provide partial aggregation. Compared with the existing ID-based aggregate signatures, the scheme is more efficient in terms of computational cost, Security in the random oracle model based on a variant of the computation Diflle-Hellman (CDH) problem is captured.展开更多
文摘Let R be a prime ring and m, n be fixed non-negative integers such that m+n ≠ 0. Suppose L is an (m+m+1)-power closed Lie ideal, and this means ure+n+1 ∈ L for all u ∈ L. If charR = 0 or a prime p 〉 2(m + n), we characterize the additive maps d: L → R satisfying d(um+n+1) = (m -+n + 1)umd(u)un (resp., d(um+n+l) = umd(u)un) for all u ∈ L.
基金the Doctoral Program of Higher Education(Grant No.20030027002)
文摘By using Frobenius maps and F-stable representations,we count the number of isomor- phism classes of indecomposable representations with the fixed dimension vector of a species of type _n over a finite field,first,and then,as an application,give a q-analogue of the Weyl-Kac denominator identity of type _n.
文摘A new identity-based (ID-based) aggregate signature scheme which does not need any kind of interaction among the signers was proposed to provide partial aggregation. Compared with the existing ID-based aggregate signatures, the scheme is more efficient in terms of computational cost, Security in the random oracle model based on a variant of the computation Diflle-Hellman (CDH) problem is captured.