The exchange property for purely infinite simple rings

Pere Ara

doi:https://doi.org/10.1090/S0002-9939-04-07369-1

The exchange property for purely infinite simple rings

Pere Ara

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

28 Citations (Scopus)

Abstract

It is proven that every purely infinite simple ring is an exchange ring. This result is applied to determine those Leavitt algebras that are exchange rings.

Original language	English
Pages (from-to)	2543-2547
Journal	Proceedings of the American Mathematical Society
Volume	132
DOIs	https://doi.org/10.1090/S0002-9939-04-07369-1
Publication status	Published - 1 Sep 2004

Keywords

Exchange ring
Leavitt algebra
Purely infinite simple ring

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https://doi.org/10.1090/S0002-9939-04-07369-1

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title = "The exchange property for purely infinite simple rings",

abstract = "It is proven that every purely infinite simple ring is an exchange ring. This result is applied to determine those Leavitt algebras that are exchange rings.",

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year = "2004",

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doi = "https://doi.org/10.1090/S0002-9939-04-07369-1",

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AB - It is proven that every purely infinite simple ring is an exchange ring. This result is applied to determine those Leavitt algebras that are exchange rings.

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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The exchange property for purely infinite simple rings

Abstract

Keywords

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