单面戈伦斯坦环

IF 1 3区 数学 Q1 MATHEMATICS Forum Mathematicum Pub Date : 2024-01-01 DOI:10.1515/forum-2023-0303
Lars Winther Christensen, Sergio Estrada, Li Liang, Peder Thompson, Junpeng Wang
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引用次数: 0

摘要

岩永-戈伦斯坦环的显著特征通常通过其内在对称性来理解。我们的研究表明,其中一些与戈伦斯坦全维相关的特征可以延续到单侧情况,即使没有诺特假说也是如此。我们的结果产生了与戈伦斯坦性质相关的同调不变式之间的新关系,不仅包括戈伦斯坦全维,还包括注入/射出模块的射出/注入维的上界和有限维。
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One-sided Gorenstein rings
Distinctive characteristics of Iwanaga–Gorenstein rings are typically understood through their intrinsic symmetry. We show that several of those that pertain to the Gorenstein global dimensions carry over to the one-sided situation, even without the noetherian hypothesis. Our results yield new relations among homological invariants related to the Gorenstein property, not only Gorenstein global dimensions but also the suprema of projective/injective dimensions of injective/projective modules and finitistic dimensions.
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来源期刊
Forum Mathematicum
Forum Mathematicum 数学-数学
CiteScore
1.60
自引率
0.00%
发文量
78
审稿时长
6-12 weeks
期刊介绍: Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.
期刊最新文献
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