LOCAL COMPARABILITY OF EXCHANGE IDEALS

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IEJA-INT ELECTRONIC JOURNAL ALGEBRA

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info:eu-repo/semantics/openAccess

Özet

An exchange ideal I of a ring R is locally comparable if for every regular x is an element of I there exists a right or left invertible u is an element of 1 + I such that x = xux. We prove that every matrix extension of an exchange locally comparable ideal is locally comparable. We thereby prove that every square regular matrix over such ideal admits a diagonal reduction.

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WOS: 000455124100001

Anahtar Kelimeler

Locally comparable ideal, matrix extension, diagonal reduction, exchange ideal

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INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA

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25

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Onay

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