Cohen-Macaulay同调维数

IF 0.3 4区数学 Q4 MATHEMATICS

Mathematica Scandinavica Pub Date : 2019-04-07 DOI:10.7146/math.scand.a-119382

P. Sahandi, Tirdad Sharif, S. Yassemi

引用次数: 3

摘要

我们引入了新的同调维数，即同调有界复合体的Cohen-Macaulay射影维数、内射维数和平面维数。除其他外，我们证明(a)这些不变量表征局部环的Cohen-Macaulay性质，(b) Cohen-Macaulay平面维数在Gorenstein平面维数和大受限平面维数之间的拟合，以及(c) Cohen-Macaulay内射维数在Gorenstein内射维数和Chouinard不变量之间的拟合。

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Cohen-Macaulay homological dimensions

We introduce new homological dimensions, namely the Cohen-Macaulay projective, injective and flat dimensions for homologically bounded complexes. Among other things we show that (a) these invariants characterize the Cohen-Macaulay property for local rings, (b) Cohen-Macaulay flat dimension fits between the Gorenstein flat dimension and the large restricted flat dimension, and (c) Cohen-Macaulay injective dimension fits between the Gorenstein injective dimension and the Chouinard invariant.

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来源期刊

Mathematica Scandinavica 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematica Scandinavica is a peer-reviewed journal in mathematics that has been published regularly since 1953. Mathematica Scandinavica is run on a non-profit basis by the five mathematical societies in Scandinavia. It is the aim of the journal to publish high quality mathematical articles of moderate length. Mathematica Scandinavica publishes about 640 pages per year. For 2020, these will be published as one volume consisting of 3 issues (of 160, 240 and 240 pages, respectively), enabling a slight increase in article pages compared to previous years. The journal aims to publish the first issue by the end of March. Subsequent issues will follow at intervals of approximately 4 months. All back volumes are available in paper and online from 1953. There is free access to online articles more than five years old.