On a question of Gillespie
-
Xiaoyan Yang
and
Nanqing Ding
Abstract
A question of
Gillespie concerning the completeness of the induced cotorsion pairs
is settled in the general setting of any bicomplete abelian
category. That is, given a complete hereditary cotorsion pair
Funding source: NSFC
Award Identifier / Grant number: 11371187
Funding source: NSFC
Award Identifier / Grant number: 11361051
Funding source: NSF of Jiangsu Province of China
Award Identifier / Grant number: BK2011068
Funding source: China Postdoctoral Science Foundation
Award Identifier / Grant number: 2012M511713
Funding source: PAPD
We wish to thank the referee for the very helpful suggestions which have been incorporated herein.
© 2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Conjugacy classes of finite groups and graph regularity
- A note about complexity of lens spaces
- A note for alternating Ramanujan's circular summation formula
- On a question of Gillespie
- Jumping pairs of Steiner bundles
- On the recurrence of symmetric jump processes
- R-groups, elliptic representations, and parameters for GSpin groups
- The least common multiple of consecutive quadratic progression terms
- Hybrid bounds for quadratic Weyl sums and arithmetic applications
- Invariants of coinvariant algebras
- Boundedness of certain singular integrals along surfaces on Triebel–Lizorkin spaces
- Distinction of the Steinberg representation II: An equality of characters
- Perturbations of functional inequalities for Lévy type Dirichlet forms
- Decomposable Leavitt path algebras for arbitrary graphs
- Group rings whose set of symmetric elements is Lie metabelian
- Heat kernel and Lipschitz–Besov spaces
- A case of monoidal uniqueness of algebraic models
- Schur tensor product of operator spaces
- On the upper bound for Bi(K)Bi(K*)
- Bredon cohomological dimensions for proper actions and Mackey functors
- Action of the Cremona group on foliations on ℙℂ2: Some curious facts
- Homological aspects of the dual Auslander transpose
- Nilpotent covers and non-nilpotent subsets of finite groups of Lie type
- Erratum to The distribution of the logarithm in an orthogonal and a symplectic family of L-functions [Forum Math. 26 (2014), 523–546]
Articles in the same Issue
- Frontmatter
- Conjugacy classes of finite groups and graph regularity
- A note about complexity of lens spaces
- A note for alternating Ramanujan's circular summation formula
- On a question of Gillespie
- Jumping pairs of Steiner bundles
- On the recurrence of symmetric jump processes
- R-groups, elliptic representations, and parameters for GSpin groups
- The least common multiple of consecutive quadratic progression terms
- Hybrid bounds for quadratic Weyl sums and arithmetic applications
- Invariants of coinvariant algebras
- Boundedness of certain singular integrals along surfaces on Triebel–Lizorkin spaces
- Distinction of the Steinberg representation II: An equality of characters
- Perturbations of functional inequalities for Lévy type Dirichlet forms
- Decomposable Leavitt path algebras for arbitrary graphs
- Group rings whose set of symmetric elements is Lie metabelian
- Heat kernel and Lipschitz–Besov spaces
- A case of monoidal uniqueness of algebraic models
- Schur tensor product of operator spaces
- On the upper bound for Bi(K)Bi(K*)
- Bredon cohomological dimensions for proper actions and Mackey functors
- Action of the Cremona group on foliations on ℙℂ2: Some curious facts
- Homological aspects of the dual Auslander transpose
- Nilpotent covers and non-nilpotent subsets of finite groups of Lie type
- Erratum to The distribution of the logarithm in an orthogonal and a symplectic family of L-functions [Forum Math. 26 (2014), 523–546]
