Superdecomposable pure-injective modules exist over some string algebras

Gennady Puninskiy; Gena Puninski

doi:10.1090/S0002-9939-03-07292-7

Superdecomposable pure-injective modules exist over some string algebras

Gennady Puninskiy, Gena Puninski

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

Abstract

We prove that over every non-domestic string algebra over a countable field there exists a superdecomposable pure-injective module.

Original language	English
Pages (from-to)	1891-1898
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	132
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9939-03-07292-7
Publication status	Published - Jul 2004

Keywords

Pure-injective module
String algebra
Superdecomposable module

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10.1090/S0002-9939-03-07292-7

Cite this

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title = "Superdecomposable pure-injective modules exist over some string algebras",

abstract = "We prove that over every non-domestic string algebra over a countable field there exists a superdecomposable pure-injective module.",

keywords = "Pure-injective module, String algebra, Superdecomposable module",

author = "Gennady Puninskiy and Gena Puninski",

year = "2004",

month = jul,

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journal = "Proceedings of the American Mathematical Society",

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AB - We prove that over every non-domestic string algebra over a countable field there exists a superdecomposable pure-injective module.

KW - Pure-injective module

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KW - Superdecomposable module

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DO - 10.1090/S0002-9939-03-07292-7

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JF - Proceedings of the American Mathematical Society

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Superdecomposable pure-injective modules exist over some string algebras

Abstract

Keywords

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