ON SPECIAL RADICALS COINCIDING ON SIMPLE RINGS AND ON POLYNOMIAL RINGS

S. Tumurbat

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ON SPECIAL RADICALS COINCIDING ON SIMPLE RINGS AND ON POLYNOMIAL RINGS

机译：关于简单环和多项式环的特殊自由基

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摘要

Answering a problem of M. Ferrero, we construct a special radical δ such that δ is contained in the Jacobson radical J, δ and J coincides on simple rings and on polynomial rings, but δ ≠ J. For two special radicals with the above conditions, we give a criterion of their coincidence.

机译：回答费雷罗（M. Ferrero）的问题，我们构造了一个特殊的自由基δ，使雅各布森自由基J中包含δ，δ和J在简单环和多项式环上重合，但δ≠J。对于具有上述条件的两个特殊自由基，我们给出了它们符合的标准。

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《Journal of algebra and its applications》 |2003年第1期|共6页
作者
S. Tumurbat;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
special radicals; polynomial rings; radicals with the Amitsur property;

机译：特殊部首;多项式环;具有Amitsur性质的自由基;

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1. ON SPECIAL RADICALS COINCIDING ON SIMPLE RINGS AND ON POLYNOMIAL RINGS [J] . S. Tumurbat Journal of algebra and its applications . 2003,第1期

机译：关于简单环和多项式环的特殊自由基
2. ON SPECIAL RADICALS COINCIDING ON SIMPLE RINGS AND ON POLYNOMIAL RINGS [J] . S. Tumurbat Journal of algebra and its applications . 2003,第1期

机译：关于简单环和多项式环的特殊自由基
3. A note on special radicals and partitions of simple rings [J] . Tumurbat S., Wiegandt R. Communications in algebra . 2002,第4期

机译：关于简单环的特殊部首和分隔的注释
4. Some Special Classes μ Whose Upper Radical U(μ) Determined By μ Coincides With The Upper Radical U(*μ)_k Determined By (*μ)_k [C] . Puguh Wahyu Prasetyo, Indah Emilia Wijayanti, Halina France-Jackson SEAMS UGM International Conference on Mathematics and Its Applications . 2016

机译：一些特殊的类μ由μ确定的上基团U（μ）与由（*μ）_k确定的上基团U（*μ）_k重合
5. Classification of Line Modules and Finite Dimensional Simple Modules over a Deformation of the Polynomial Ring in Three Variables [D] . Wu, Min. 2018

机译：三个变量中多项式环变形的线模块和有限维简单模块的分类
6. Ring-Expansion/Contraction Radical Crossover Reactions of Cyclic Alkoxyamines: A Mechanism for Ring Expansion-Controlled Radical Polymerization [O] . Atsushi Narumi, Tetsuya Kobayashi, Masatsugu Yamada, 2018

机译：环烷氧基胺的扩环/收缩自由基交换反应：扩环控制的自由基聚合机理
7. Prime rings having one-sided ideal with polynomial identity coincide with special Johnson rings [O] . Jain S.K 1971

机译：具有多项式标识的单侧理想的素环与特殊的Johnson环重合
8. Polynomial and Power Series FGC-Rings Have Trivial Coefficient Rings [R] . Brewer, J. W., Naude, C., Naude, G. 1983

机译：多项式和幂级数FGC环具有平凡的系数环

ON SPECIAL RADICALS COINCIDING ON SIMPLE RINGS AND ON POLYNOMIAL RINGS

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