半交换模的扩张

引入了半交换模的概念,并分别讨论模的罗朗多项式扩张和罗朗幂级数扩张的半交换性质.证明了当模MR是半交换模时,MR是PP-模与MR是PQ-Bare模是等价的.最后证明了当MR是reduced模时,右R[x]/(xn)-模M[x]/(M[x](xn))是半交换模.

交换半模的局部化

引入了局部化的定义,讨论了该定义意义下局部化的若干性质,并证明了交换半模局部化的泛性质.

约化环和半交换环

讨论了在约化条件下,比平凡扩张更广泛的一类扩张环的半交换性.通过给出半交换模的定义,得到平凡扩张是半交换环的一个充要条件.

Exact Sequence and Commutative Diagrams of Semimodule Homomorphism

Throught the introduction of the concept * exact sequence,we set up several satisfied results of commutative diagrams of semimodule homomorphism.

Magnetic Moments and Electromagnetic Radii of Nucleon and △（1232） in an Extended Goldstone-Boson-Exchange Model

We derive the exchange currents of pseudoscalar, vector, and scalar mesons from Feynman diagrams, and use them to calculate the magnetic form factors of nucleon and △(1232). The magnetic moments and electromagnetic radii are obtained by using those form factors and the parameters determined from the masses of nucleon and △(1232).We find the magnetic moments and electromagnetic radii of nucleon and △(1232) can be produced very well in the extended Goldstone-Boson-exchange model in which all of pseudoscalar, vector, and scalar meson nonet are included.The magnetic moments of △(1232) are closer to experiment values and results from lattice calculation than the results obtained by the model without other mesons except for pion and sigma.