对建设性多项式理想理论的贡献第二十三:列宁格勒数学家N. M. Gjunter关于多项式理想理论的被遗忘的著作

SIGSAM Bull. Pub Date : 2003-06-01 DOI:10.1145/944567.944569

Bodo Renschuch, H. Roloff, G. G. Rasputin, Michael Abramson

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引用次数: 5

摘要

在1941年的一篇论文中(这里是浓缩的)，n.m. Gjunter提到了他在1910年，1913年和1925年的一些不知名的论文，这些论文部分是在1941年的论文的背景下写的。因此，冈特在1913年就已经在研究多项式理想的建构性理论了。在其他结果中，他证明了1913年(分别从1927年和1930年)麦考利/斯珀纳的不平等。还讨论了类似于最近工作的结果。作者至此结束了他的文章序列。

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Contributions to constructive polynomial ideal theory XXIII: forgotten works of Leningrad mathematician N. M. Gjunter on polynomial ideal theory

In a 1941 paper (which is condensed here), N. M. Gjunter refers to some of his unknown papers from 1910, 1913 and 1925, which are partially written in context with the 1941 paper. Thus Gjunter had already pursued a constructive theory of polynomial ideals in 1913. Among other results, he proves the inequality attributed to Macaulay/Sperner in 1913 (from 1927 and 1930, respectively). Also discussed are results analogous to more recent work. The author hereby finishes his sequence of articles.

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SIGSAM Bull.

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