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Communications in Algebra Volume 49, 2021 - Issue 3
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Research Article

Socle-injective semiprime rings, with some applications to Leavitt path algebras

Ardeline M. Buhphanga Department of Mathematics, North-Eastern Hill University, Shillong, Meghalaya, IndiaView further author information
,
Soumitra Dasa Department of Mathematics, North-Eastern Hill University, Shillong, Meghalaya, IndiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-4632-0440View further author information
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Cándido Martín Gonzálezb Departamento de Álgebra, Geometria y Topologia, Universidad de Málaga, Málaga, SpainORCID Iconhttps://orcid.org/0000-0003-2796-7417View further author information
ORCID Icon &
Mercedes Siles Molinac Departamento de Álgebra Geometria y Topologia, Facultad de Ciencias, Universidad de Málaga, Málaga, SpainORCID Iconhttps://orcid.org/0000-0002-4299-5187View further author information
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Pages 1128-1145 | Received 28 Jul 2020, Accepted 21 Sep 2020, Published online: 17 Oct 2020

References

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  • Pino, A. G., Barquero, M. D., Gonzalez, M. C., Molina, M. S. (2008). The socle of a Leavitt path algebra. J. Pure Appl. Algebra 212:500–509.
  • Pino, A. G., Barquero, M. D., Gonzalez, M. C., Molina, M. S. (2010). Socle theory for Leavitt path algebras of arbitrary graphs. Rev. Mat. Iber. 26:611–638.
  • Pino, A. G., Rangaswamy, K., Molina, M. S. (2011). Weakly regular and self-injective Leavitt path algebras over arbitrary graphs. Algebr. Represent. Theory. 14:51–77.
  • Stenström, B. (1975). Rings of Quotients, an Introduction to Methods of Ring Theory. Berlin: Springer-Verlag.

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