Left Principal Ideal Rings
Left Principal Ideal Rings
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左主理想环
DOI：
10.1007/bfb0060430
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发表时间：
1970
期刊：
影响因子：
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通讯作者：
A. V. Jategaonkar
中科院分区：
文献类型：
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作者：
A. V. Jategaonkar
本专着的目的是对统一主左理想环（简称 pli-环）的结构理论和理想理论进行独立的阐述。它并没有对 pli-ring 的所有方面进行说明。事实上，它根本不包含任何有关 pli-ring 的模的内容，也很少包含有关元素因式分解的内容。看一下目录，您就会了解该专着的一些内容。而且，每一章都有单独的引言。在每个部分中，只要给出足够的定义以使陈述有意义，就会陈述主要结果。这种安排可能有助于不受证据阻碍地详细了解内容。第一年的代数研究生课程涵盖阿天环和序数的了解就足以阅读专着的大部分内容。
The aim of this monograph is to present a self-contained account of the structure theory and the ideal theory of principal left ideal rings with unity (pli-rings, for short). It is not an account of all aspects of pli-rings. Indeed, it contains nothing at all concerning modules over pli-rings and very little concerning factorization of elements.A glance at the table of contents will reveal a little of what the monograph contains. Moreover, each chapter has a separate introduction. In each section, the main results are stated as soon as enough definitions are given to make the statements meaningful. This arrangement may help to get a detailed idea of the contents unhampered by proofs. A first year graduate course in algebra covering Artinian rings and an acquaintance with ordinals would be enough to read most of the monograph.