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   Articles with "gorenstein projective" as a keyword



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Gorenstein projective bimodules via monomorphism categories and filtration categories

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recommendations! Published in 2019 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2018.05.012

Abstract: We generalize the monomorphism category from quiver (with monomial relations) to arbitrary finite dimensional algebras by a homological definition. Given two finite dimension algebras $A$ and $B$, we use the special monomorphism category Mon(B, A-Gproj)… read more here.

Keywords: projective bimodules; gorenstein projective; bimodules via; filtration categories ... See more keywords
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Another Gorenstein analogue of flat modules

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recommendations! 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
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A description of Gorenstein projective modules over the tensor products of algebras

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recommendations! Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1539172

Abstract: Abstract Let A be a two-sided coherent algebra over a field k and B be a finite-dimensional algebra. If B is Gorenstein, we give a description of finitely presented Gorenstein projective modules over the tensor… read more here.

Keywords: modules tensor; projective modules; gorenstein projective; description ... See more keywords
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Gorenstein projective modules and recollements over triangular matrix rings

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recommendations! Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2020.1775240

Abstract: Abstract Let be a triangular matrix ring with R and S rings and an R–S-bimodule. We describe Gorenstein projective modules over T. In particular, we refine a result of Enochs, Cortés-Izurdiaga, and Torrecillas [Gorenstein conditions… read more here.

Keywords: triangular matrix; recollements triangular; projective modules; gorenstein projective ... See more keywords