LAUSR

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;

On the Hilbert function of Gorenstein algebras of socle degree four

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

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

Another Gorenstein analogue of flat modules

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0 Published in 2017 at "Communications in Algebra"

DOI: 10.1080/00927872.2016.1245314

Abstract: ABSTRACT A right R-module M is called glat if any homomorphism from any finitely presented right R-module to M factors through a finitely presented Gorenstein projective right R-module. The concept of glat modules may be… read more here.

Keywords: finitely presented; another gorenstein; gorenstein analogue; gorenstein ... See more keywords

Triangle equivalences involving Gorenstein FP-injective modules

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0 Published in 2018 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1459639

Abstract: ABSTRACT Recently, Hu et al. [16] introduced the notion of Gorenstein FP-injective modules and investigated a notion of Gorenstein FP-injective dimension for complexes. Let R be a left coherent ring and Db(R-Mod) the bounded derived… read more here.

Keywords: involving gorenstein; category; injective modules; gorenstein ... See more keywords

Non-Gorenstein Locus and Almost Gorenstein Property of the Ehrhart Ring of the Stable Set Polytope of a Cycle Graph

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2 Published in 2022 at "Taiwanese Journal of Mathematics"

DOI: 10.11650/tjm/221104

Abstract: Let $R$ be the Ehrhart ring of the stable set polytope of a cycle graph which is not Gorenstein. We describe the non-Gorenstein locus of $\mathrm{Spec} R$. Further, we show that $R$ is almost Gorenstein.… read more here.

Keywords: ring stable; stable set; gorenstein; polytope cycle ... See more keywords