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  • 1
    Electronic Resource
    Electronic Resource
    Computing combinatorial decompositions of rings (1991)
    Springer
    Combinatorica 11 (1991), S. 275-293 
    Details
    ISSN: 1439-6912
    Keywords: 68 C 20 ; 13-04 ; 20 C 05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Using Buchberger's Gröbner basis theory, we obtain explicit algorithms for computing Stanley decompositions, Rees decompositions and Hironaka decompositions of commutative Noetherian rings. These decompositions are of considerable importance in combinatorics, in particular in the theory of Cohen-Macaulay complexes. We discuss several applications of our methods, including a new algorithm for finding primary and secondary invariants of finite group actions on polynomial rings.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01205079
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