Recollements, sinks elimination, and Leavitt path algebras

Roozbeh Hazrat; Ju Huang

doi:10.1007/s00013-016-0967-2

Recollements, sinks elimination, and Leavitt path algebras

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Abstract

For Leavitt path algebras, we show that whereas removing sources from a graph produces a Morita equivalence, removing sinks gives rise to a recollement situation. In general, we show that for a graph E and a finite hereditary subset H of E 0, there is a recollement[Equation not available: see fulltext.] We record several corollaries.

Original language	English
Pages (from-to)	589-594
Number of pages	6
Journal	Archiv der Mathematik
Volume	107
Issue number	6
DOIs	https://doi.org/10.1007/s00013-016-0967-2
Publication status	Published - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing.

Keywords

abelian categories
algebra

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10.1007/s00013-016-0967-2

Cite this

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abstract = "For Leavitt path algebras, we show that whereas removing sources from a graph produces a Morita equivalence, removing sinks gives rise to a recollement situation. In general, we show that for a graph E and a finite hereditary subset H of E 0, there is a recollement[Equation not available: see fulltext.] We record several corollaries.",

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AB - For Leavitt path algebras, we show that whereas removing sources from a graph produces a Morita equivalence, removing sinks gives rise to a recollement situation. In general, we show that for a graph E and a finite hereditary subset H of E 0, there is a recollement[Equation not available: see fulltext.] We record several corollaries.

KW - abelian categories

KW - algebra

UR - http://handle.uws.edu.au:8081/1959.7/uws:37602

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DO - 10.1007/s00013-016-0967-2

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JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 6

ER -

Recollements, sinks elimination, and Leavitt path algebras

Abstract

Bibliographical note

Keywords

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