一个环R∈（M）当且仅当R的每一个非零同态象或者包含一个非零M理想或者有本质理想。
A ring Re, (M) iff each nonzero homomorphic image of R either contains a nonzero M-ideal or has an essential ideal.
本文将完全刻划出无零因子环的所有幂自同态。
In this paper, we will completely characterize all power endomorphisms of rings without zero divisor.
使用安全多方计算和同态承诺的零知识证明，实现了所有权验证。
Furthermore, the ownership verification is implemented by using secure multiparty computation and zero-knowledge proofs with homomorphic commitments.
根据子波振幅谱估算最小相位子波已有多种方法，本文对用希尔伯特变换法、同态法、零相位子波法、松弛迭代法等估算的最小相位子波，进行了详细的分析。
Among the methods for estimating the minimum phase wavelet from its amplitude spectrum, methods of Hilbert-transform, of homomorphy, of zero-phase wavelet and of relaxation-iteration are analysed.
通过对环的幂自同态结构的研究，刻画出无零因子环的所有幂自同态。
In this paper, we will completely characterize all power endomorphisms of rings without zero divisor.
在实际中做到这一点是十分困难的，为此本文提出零相位同态反褶积方法。
It needs expansionary cornputation of wavelet phase in frequency domain, which is very difficult in practice.
在实际中做到这一点是十分困难的，为此本文提出零相位同态反褶积方法。
It needs expansionary cornputation of wavelet phase in frequency domain, which is very difficult in practice.
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