Translators' Introduction
Translators' Introduction
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译者简介
DOI：
10.3726/978-1-4539-0998-0/3
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发表时间：
2002
影响因子：
1
通讯作者：
Kochetov
中科院分区：
文献类型：
--
作者：
V. Filippov;V. Kharchenko;I. Shestakov;Z. Ananyin;L. Bokut;V. N. Gerasimov;A. V. Iltyakov;E. N. Kuzmin;I. V. Lvov;V. G. Skosyrskii;Murray R Translated;Mikhail V Bremner;Kochetov
《德涅斯特笔记》（Dnestrovskaya Tetrad）是一本代数问题的集合，特别是环（结合和非结合）和模的理论，于1969年首次在苏联出版。1976年和1983年的第二版和第三版扩大了问题列表，并包括对每个问题当前状态的评论以及参考书目，特别是当发现解决方案或反例时。是最后一个;这是我们为目前的英文版本翻译的版本。《德涅斯特笔记》中的问题主要来自数学家和逻辑学家A。I.马尔切夫这一学派的环论分支是由代数学家A. I.希尔绍夫这些问题有相当大的影响，研究代数在前苏联国家。他们涵盖了广泛的主题，特别强调研究方向的特点是“俄罗斯学校“：结合环和代数，nonassociative环和代数，多项式身份，自由代数，品种的环和代数，群环，拓扑和有序环，嵌入环领域和环的分数，和理论的模块。Nonassociative rings * Dnestrovskaya tetrad：Nereshennye problemy teorii kolets i modulei（Izdanie chetvyor-译者感谢NONAA-V会议记录的编辑对本项目的支持，以及NSERC（自然科学和工程研究理事会）的财政援助。参考文献按英文字母顺序排列，包括MR编号和问题编号的交叉引用。
The Dniester Notebook (Dnestrovskaya Tetrad) is a collection of problems in algebra, especially the theory of rings (both associative and nonassociative) and modules, which was first published in the Soviet Union in 1969. The second and third editions of 1976 and 1983 expanded the list of problems, and included comments on the current status of each problem together with bibliographical references, especially when a solution or a counterexample had been discovered. was the last; this is the edition which we have translated for the present English version. The problems in the Dniester Notebook originate primarily from the Novosi-birsk school of algebra and logic, which was founded by the mathematician and logician A. I. Malcev. The ring theory branch of this school was developed by the algebraist A. I. Shirshov. These problems have had a considerable influence on research in algebra in the countries of the former Soviet Union. They cover a wide range of topics, with a special emphasis on research directions that are characteristic of the " Russian School " : associative rings and algebras, nonasso-ciative rings and algebras, polynomial identities, free algebras, varieties of rings and algebras, group rings, topological and ordered rings, embedding of rings into fields and rings of fractions, and the theory of modules. Nonassociative rings * Dnestrovskaya tetrad: Nereshennye problemy teorii kolets i modulei (Izdanie chetvyor-The translators thank the Editors of the Proceedings of NONAA-V for their support of this project, and NSERC (Natural Sciences and Engineering Research Council) for financial assistance. The references have been put into English alphabetical order, and include MR numbers and cross-references to problem numbers.