| 幂级Hermite环 |
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| 引用本文： | 张丽婷.幂级Hermite环[J].杭州师范学院学报(自然科学版),2010,9(3). |
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| 作者姓名： | 张丽婷 |
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| 作者单位： | 杭州师范大学理学院,浙江,杭州,310036 |
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| 摘 要： | 介绍了Hermite环的一类推广幂级Hermite环,证明了:1)HR是幂级Hermite环当且仅当R是幂级Hermite环;2)RD,C]是幂级Hermite环当且仅当D和C都是幂级Hermite环,其中C是D的子环;3)若Rχ,σ]是幂级Hermite 环,则R也是幂级Hermite环,反之不然.
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| 关 键 词： | Hurwitz序列 幂级Hermite环 R[χ σ] R[χ σ] |
On Power-Hermitian Rings |
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| ZHANG Li-ting.On Power-Hermitian Rings[J].Journal of Hangzhou Teachers College(Natural Science),2010,9(3). |
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| Authors: | ZHANG Li-ting |
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| Abstract: | The paper has introduced the power-Hermitian rings which are generalization of Hermitian rings.The results show that: 1) HR is a power-Herrnitian ring if and only if R is a power-Hermitian ring; 2) RD,C]is a power-Hermitian ring if and only if D and C are power-Herrnitian rings, where C is a subring of D; 3) If R χ,σ]is a power-Herrnitian ring, so is R, but the converse is not true. |
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| Keywords: | R[D C] Hurwitz series power-Hermitian rings R[D C] |
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