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Flat covers over formal triangular matrix rings and minimal Quillen factorizations
-
Edgar Enochs
and
Blas Torrecillas
Published/Copyright:
April 14, 2010
Abstract
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.
Received: 2008-09-24
Revised: 2009-05-18
Published Online: 2010-04-14
Published in Print: 2011-May
© de Gruyter 2011
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Articles in the same Issue
- The generalized conjugacy problem for virtually free groups
- Stably diffeomorphic manifolds and l2q+1(ℤ[π])
- The size of the quotient LUC(G)/UC(G)
- Finitistic dimension conjecture and conditions on ideals
- Principal 2-bundles and their gauge 2-groups
- Flat covers over formal triangular matrix rings and minimal Quillen factorizations
- Maximal holonomy of infra-nilmanifolds with 3-dimensional Iwasawa geometry
- Algebraic Bol loops
Keywords for this article
Triangular matrix ring;
Quillen factorizations;
cotorsion pairs;
flat covers
Articles in the same Issue
- The generalized conjugacy problem for virtually free groups
- Stably diffeomorphic manifolds and l2q+1(ℤ[π])
- The size of the quotient LUC(G)/UC(G)
- Finitistic dimension conjecture and conditions on ideals
- Principal 2-bundles and their gauge 2-groups
- Flat covers over formal triangular matrix rings and minimal Quillen factorizations
- Maximal holonomy of infra-nilmanifolds with 3-dimensional Iwasawa geometry
- Algebraic Bol loops
