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Matematicheskie Zametki, 2009, Volume 85, Issue 5, Pages 721–736
DOI: https://doi.org/10.4213/mzm6909 (Mi mzm6909) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Monomial Modules and Graded Betti Numbers

M. Crupi, G. Restuccia

University of Messina
Full-text PDF (465 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm6909
Abstract: Let $K$ be a field, $S=K[x_1,\dots,x_n]$, the polynomial ring over $K$, and let $F$ be a finitely generated graded free $S$-module with homogeneous basis. Certain invariants, such as the Castelnuovo–Mumford regularity and the graded Betti numbers of submodules of $F$, are studied; in particular, the componentwise linear submodules of $F$ are characterized in terms of their graded Betti numbers.
Keywords: graded ring, graded module, minimal graded free resolution, graded Betti number, polynomial ring, Gröbner basis, syzygy module.
Received: 18.01.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 5, Pages 690–702
DOI: https://doi.org/10.1134/S0001434609050095
Bibliographic databases:
UDC: 512.626
Language: Russian
Citation: M. Crupi, G. Restuccia, “Monomial Modules and Graded Betti Numbers”, Mat. Zametki, 85:5 (2009), 721–736; Math. Notes, 85:5 (2009), 690–702
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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