Minimal resolutions of graded modules over an exterior algebra

IF 0.6 Q3 MULTIDISCIPLINARY SCIENCES

Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali Pub Date : 2019-05-06 DOI:10.1478/AAPP.971A5

Luca Amata, M. Crupi

引用次数: 3

Abstract

Let K be a field, E the exterior algebra of a n --dimensional K -vector space V . We study projective and injective resolutions over E . More precisely, given a category M of finitely generated Z-graded left and right E -modules, we give upper bounds for the graded Betti numbers and the graded Bass numbers of classes of modules in M .

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外部代数上的梯度模的最小分辨率

设K是一个域，E是n维K向量空间V的外部代数。我们研究E上的投影分辨率和内射分辨率。更准确地说，给定一个有限生成的z级左右E模的类别M，我们给出了M中各模类的级Betti数和级Bass数的上界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali MULTIDISCIPLINARY SCIENCES-

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

31 weeks

期刊介绍： This journal is of a multi- and inter-disciplinary nature and covers a broad range of fields including mathematics, computer science, physics, chemistry, biology, earth sciences, and their intersection. History of science is also included within the topics addressed by the journal. The transactions of the Pelorian Academy started out as periodic news sheets containing the notes presented by the members of the Divisions into which the Academy has been and still is organized, according to subject areas. The publication of these notes for the Division (“Classe”) of Mathematical, Physical and Natural Sciences is the responsibility of the Editorial Committee, which is composed of the Director of the division with the role of Chairman, the Vice-Director, the Secretary and two or more other members. Besides original research articles, the journal also accepts texts from conferences and invited talks held in the Academy. These contributions are published in a different section of the journal. In addition to the regular issues, single monographic supplements are occasionally published which assemble reports and communications presented at congresses, symposia, seminars, study meetings and other scientific events organized by the Academy or under its patronage. Since 2004 these transactions have been published online in the form of an open access electronic journal.