平凡人 发表于 2025-3-21 19:11:08

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inveigh 发表于 2025-3-21 23:43:02

0075-8434 stract algebra: the Law of Excluded Middle and Zorn‘s Lemma. For instance, these tools are required in order to construct the complete prime factorization of an ideal in a Dedekind ring, whereas the dynamical m978-3-319-19493-6978-3-319-19494-3Series ISSN 0075-8434 Series E-ISSN 1617-9692

CHASM 发表于 2025-3-22 01:58:24

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intricacy 发表于 2025-3-22 07:08:53

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amnesia 发表于 2025-3-22 11:40:32

Classical Irreversible Thermodynamics,sion have computational content. Constructive algebra, on the other hand, can be understood as a “preprocessing” step for computer algebra that leads to general algorithms, even if they are sometimes not efficient. In constructive algebra, one tries to give general algorithms for solving “virtually any” theorem of abstract algebra.

glowing 发表于 2025-3-22 16:52:44

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glowing 发表于 2025-3-22 19:41:21

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exceed 发表于 2025-3-22 22:02:48

Syzygies in Polynomial Rings Over Valuation Domains,icult result published in a huge paper by Gruson and Raynaud . There is nevertheless no known general algorithm for this remarkable result, and it seems difficult to compute the syzygy module even for small polynomials.

繁荣地区 发表于 2025-3-23 03:45:04

Instabilities and Pattern Formation,The Euclidean division algorithm plays a key role when dealing with univariate polynomials with coefficients in a field ..

Trabeculoplasty 发表于 2025-3-23 06:32:28

Chemical Reactions and Molecular Machines,. Prove constructively that a valuation domain has Krull dimension ≤ 1 if and only if its valuation group is archimedean.
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查看完整版本: Titlebook: Constructive Commutative Algebra; Projective Modules O Ihsen Yengui Book 2015 Springer International Publishing Switzerland 2015 13Cxx,13Px