Pruned cellular free resolutions of monomial ideals
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DOI: 10.1016/j.jalgebra.2019.09.013
Abstract: Using discrete Morse theory, we give an algorithm that prunes the excess of information in the Taylor resolution and constructs a new cellular free resolution for an arbitrary monomial ideal. The pruned resolution is not… read more here.
Keywords: resolution; pruned cellular; cellular free; resolutions monomial ... See more keywords
Minimal free resolutions for homogeneous ideals with Betti numbers 1, n, n,1
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DOI: 10.1080/00927872.2018.1552281
Abstract: Abstract We investigate the standard generalized Gorenstein algebras of homological dimension three, giving a structure theorem for their resolutions. Moreover in many cases we are able to give a complete description of their graded Betti… read more here.
Keywords: homogeneous ideals; betti numbers; resolutions homogeneous; free resolutions ... See more keywords