AUB ScholarWorks

Browsing Department of Mathematics by Subject "Artinian rings"

Browsing Department of Mathematics by Subject "Artinian rings"

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  • Artinian Gorenstein algebras with linear resolutions 
    El Khoury, Sabine; Kustin, Andrew R. (Academic Press Inc., 2014)
    For each pair of positive integers n, d, we construct a complex G∼'(n) of modules over the bi-graded polynomial ring R∼=Z[x1,. . .,xd,], where M roams over all monomials of degree 2n-2 in . The complex G∼'(n) has the ...
  • The explicit minimal resolution constructed from a Macaulay inverse system 
    El Khoury, Sabine; Kustin, Andrew R. (Academic Press Inc., 2015)
    Let A be a standard-graded Artinian Gorenstein algebra of embedding codimension three over a field k. In the generic case, the minimal homogeneous resolution, G, of A, by free Sym•k(A1) modules, is Gorenstein-linear. Fix ...
  • The structure of Gorenstein-linear resolutions of Artinian algebras 
    El Khoury, Sabine; Kustin, Andrew R. (Academic Press Inc., 2016)
    Let k be a field, A a standard-graded Artinian Gorenstein k-algebra, S the standard-graded polynomial ring Sym•kA1, I the kernel of the natural map , d the vector space dimension dimkA1, and n the least index with In≠0. ...

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