On the Inverse Syzygy Problem

DOI10.1080/00927870903015226zbMath1206.16006OpenAlexW1998131858MaRDI QIDQ3579886

Werner M. Seiler, Eva Zerz, Marcus Hausdorf

Publication date: 11 August 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903015226

zbMATH Keywords

syzygiescoherent ringstorsionless modulesextension groupstorsionfree modulesfinitely generated free left modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Algebraic methods (93B25) Syzygies, resolutions, complexes in associative algebras (16E05) General module theory in associative algebras (16D10) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (2)

Algebraic Theory of Linear Systems: A Survey ⋮ On boundary conditions parametrized by analytic functions

Cites Work

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• Hartogs phenomena and antisyzygies for systems of differential equations
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• The Fractional Representation Approach to Synthesis Problems: An Algebraic Analysis Viewpoint Part I: (Weakly) Doubly Coprime Factorizations
• Homological computations in PBW modules.
• Extension modules in behavioral linear systems theory

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