Artinian level algebras of socle degree 4
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DOI: 10.1016/j.jalgebra.2018.03.043
Abstract: In this paper we study the O-sequences of local (or graded) K -algebras of socle degree 4. More precisely, we prove that an O-sequence h=(1,3,h 2 ,h 3 ,h 4 ) h = ( 1… read more here.
Keywords: vector; artinian level; level; socle degree ... See more keywords
On the Hilbert function of Gorenstein algebras of socle degree four
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DOI: 10.1016/j.jpaa.2020.106434
Abstract: Abstract The first example of a non unimodal Gorenstein h-vector was given by Stanley, it is ( 1 , 13 , 12 , 13 , 1 ) . In [14] the authors showed that Stanley's… read more here.
Keywords: degree four; socle degree; hilbert function; gorenstein ... See more keywords