广义中心α-Armendariz环

刘大俊, 魏加群

数学学报 ›› 2021, Vol. 64 ›› Issue (2) : 219-224.

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PDF(322 KB)
数学学报 ›› 2021, Vol. 64 ›› Issue (2) : 219-224. DOI: 10.12386/A2021sxxb0018
论文

广义中心α-Armendariz环

    刘大俊1, 魏加群2
作者信息 +

Generalized Central α-Armendariz Rings

    Da Jun LIU1, Jia Qun WEI2
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文章历史 +

摘要

本文引入广义中心α-Armendariz环的概念,得到了广义中心α-Armendariz环的基本性质,研究了广义中心α-Armendariz环与其他环之间的一些关系.

Abstract

In this paper, the notion of a generalized central α-Armendariz ring is introduced, and this paper also obtains some basic properties of such rings. At the same time, the relations between generalized central α-Armendariz rings and other rings are studied.

关键词

广义中心&alpha / -Armendariz环 / 约化环 / abelian环

Key words

generalized central α-Armendariz ring / reduced ring / abelian ring

引用本文

导出引用
刘大俊, 魏加群. 广义中心α-Armendariz环. 数学学报, 2021, 64(2): 219-224 https://doi.org/10.12386/A2021sxxb0018
Da Jun LIU, Jia Qun WEI. Generalized Central α-Armendariz Rings. Acta Mathematica Sinica, Chinese Series, 2021, 64(2): 219-224 https://doi.org/10.12386/A2021sxxb0018

参考文献

[1] Agayev N., Güngöroglu G., Harmanci A., et al., Central Armendariz rings, Bulletin of the Malaysian Mathematical Sciety Society, 2011, 34(1):137-145.
[2] Anderson D. D., Camillo V., Armendariz rings and Gaussian rings, Communications in Algebra, 1998, 26(7):2265-2272.
[3] Armendariz E. P., A note on extensions of Baer and PP-rings, Journal of the Australian Mathematical Society, 1974, 18(4):470-473.
[4] Hong C. Y., Kim N. K., Kwak T. K., On skew Armendariz rings, Communications in Algebra, 2003, 31(1):103-122.
[5] Kim N. K., Lee Y., Armendariz rings and reduced rings, Journal of Algebra, 2000, 223:477-488.
[6] Rege M. B., Chhawchharia S., Armendariz rings, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1997, 73(1):14-17.
[7] Sanaei M., Sahebi S., Javadi H. H. S., On central skew Armendariz rings, Arxiv:1409.8091, 2014.
[8] Zhao L., Generalized weak Armendariz rings and their extensions (in Chinese), Advances in Mathematics, 2015, 44(2):175-186.
[9] Zhao L., Gu Q. Q., On relative McCoy properties with a ring endomorphism, Journal of Mathematical (PRC), 2015, 35(6):1287-1296.

基金

国家自然科学基金资助项目(11771212);江苏省杰出青年科学基金资助项目(BK2012044)

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