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在模情况时二面体群$D_{2p}$作用下的transfer理想
引用本文:南基洙,曾玲莉,张恺.在模情况时二面体群$D_{2p}$作用下的transfer理想[J].数学研究及应用,2015,35(2):130-136.
作者姓名:南基洙  曾玲莉  张恺
作者单位:大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024
基金项目:国家自然科学基金 (Grant No.11371343).
摘    要:In this paper, we determine the structures of the transfer ideal and its radical ideal for the ring of polynomials F px, y] under the action of dihedral group D2 p in the modular case. We mainly use Transfer variety, p order elements, and Hilbert’s Nullstellensatz Theorem.

关 键 词:invariant  transfer  ideal  transfer  variety  radical  ideal
收稿时间:2014/4/14 0:00:00
修稿时间:2014/6/18 0:00:00

The Transfer Ideal under the Action of the Dihedral Group $D_{2p}$ in the Modular Case
Jizhu NAN,Lingli ZENG and Kai ZHANG.The Transfer Ideal under the Action of the Dihedral Group $D_{2p}$ in the Modular Case[J].Journal of Mathematical Research with Applications,2015,35(2):130-136.
Authors:Jizhu NAN  Lingli ZENG and Kai ZHANG
Institution:School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China;School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China;School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China
Abstract:In this paper, we determine the structures of the transfer ideal and its radical ideal for the ring of polynomials $F_px,y]$ under the action of dihedral group $D_{2p}$ in the modular case. We mainly use Transfer variety, $p$ order elements, and Hilbert's Nullstellensatz Theorem.
Keywords:invariant  transfer ideal  transfer variety  radical ideal
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