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Co-Gorenstein Algebras

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0 Published in 2019 at "Applied Categorical Structures"

DOI: 10.1007/s10485-018-09554-6

Abstract: We review the theory of Co-Gorenstein algebras, which was introduced in Beligiannis (Commun Algebra 28(10):4547–4596, 2000). We show a connection between Co-Gorenstein algebras and the Nakayama and Generalized Nakayama conjecture. read more here.

Keywords: gorenstein algebras; gorenstein;

The weak Lefschetz property for Artinian Gorenstein algebras of codimension three

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1 Published in 2020 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2020.106305

Abstract: Abstract We study the weak Lefschetz property of a class of graded Artinian Gorenstein algebras of codimension three associated in a natural way to the Apery set of a numerical semigroup generated by four natural… read more here.

Keywords: gorenstein algebras; algebras codimension; artinian gorenstein; weak lefschetz ... See more keywords

The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets

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1 Published in 2020 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2020.07.008

Abstract: Abstract It has been conjectured that all graded Artinian Gorenstein algebras of codimension three have the weak Lefschetz property over a field of characteristic zero. In this paper, we study the weak Lefschetz property of… read more here.

Keywords: lefschetz property; gorenstein algebras; codimension three; weak lefschetz ... See more keywords