Journal
FORUM MATHEMATICUM
Volume 23, Issue 3, Pages 611-624Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/FORM.2011.021
Keywords
Triangular matrix ring; Quillen factorizations; cotorsion pairs; flat covers
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Funding
- Junta Andalucia [FQM 3128]
- MCI [MTM2008-03339]
- Spanish Ministerio de Educacion y Ciencia
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We describe flat covers and cotorsion envelopes over formal triangular matrix rings. To describe the flat covers we use Quillen factorizations of linear maps relative to the classical cotorsion pair. Using flat covers over formal triangular matrix rings we prove the existence and minimality of Quillen factorization.
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