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Jeremy Rickard
Bristol, United Kingdom
Algebraist at the University of Bristol.
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Top Questions
36
votes
Word evaluating to a group element and its inverse with different frequency
gr.group-theory
finite-groups
asked Jul 25, 2013 at 16:21
mathoverflow.net
28
votes
The field of fractions of the rational group algebra of a torsion free abelian group
gr.group-theory
ac.commutative-algebra
fields
abelian-groups
asked Jan 8, 2017 at 21:30
mathoverflow.net
19
votes
Vopěnka's principle and contravariant full embeddings between module categories
ct.category-theory
set-theory
ra.rings-and-algebras
abelian-categories
asked Jan 16, 2021 at 10:32
mathoverflow.net
12
votes
Does k(X) have a k-basis for every set X, without AC?
linear-algebra
lo.logic
axiom-of-choice
fields
asked Jan 8, 2015 at 12:38
mathoverflow.net
Top Answers
75
$A$ is isomorphic to $A \oplus \mathbb{Z}^2$, but not to $A \oplus \mathbb{Z}$
mathoverflow.net
57
Are there any nontrivial abelian categories with only finitely many objects?
mathoverflow.net
49
Example of an unnatural isomorphism
mathoverflow.net
46
Is it consistent with ZF that $V \to V^{\ast \ast}$ is always an isomorphism?
mathoverflow.net
45
Do vector spaces without choice satisfy Cantor-Schroeder-Bernstein?
mathoverflow.net
35
Does the symmetric group on an infinite set have a minimal generating set?
mathoverflow.net
30
Can a ring without a unit element have a subring with a unit element?
math.stackexchange.com
30
Are there only finitely many associative algebras of fixed dimension?
mathoverflow.net
29
If $A$, $B$ are abelian groups such that $\mathrm{Hom}(A, G) \cong \mathrm{Hom}(B, G)$ for all abelian groups $G$, must $A$ and $B$ be isomorphic?
mathoverflow.net
27
Cocomplete but not complete abelian category
mathoverflow.net
27
A question about representations of finite groups
mathoverflow.net
26
How much of a group $G$ is determined by the category of $G$-sets?
math.stackexchange.com
25
Additive category that is not abelian
math.stackexchange.com
25
Combinatorics Problem: $\sum _{k=0}^{s-1} \binom{n}{k}=\sum _{k=1}^s 2^{k-1} \binom{n-k}{s-k}$
mathoverflow.net
24
Non-isomorphic graphs with bijective graph homomorphisms in both directions between them
mathoverflow.net
24
Is it possible that a left coset of $H$ contains more than one right coset of $H$?
math.stackexchange.com
23
Application of Hilbert's basis theorem in representation theory
math.stackexchange.com
23
Is deciding if one planar graph is dual to another really NP-hard (Wikipedia claim)?
mathoverflow.net
22
Example of an abelian category with enough projectives and injectives which are not dual
mathoverflow.net
21
Do mutually dual finite vector spaces have the same orbit cardinalities under a linear group action?
mathoverflow.net
20
Is the homotopy category of an abelian model category abelian?
mathoverflow.net
20
Classification of subgroups of finitely generated abelian groups
mathoverflow.net
20
Is the functor from the unbounded derived category of coherent sheaves into the derived category of quasi-coherent sheaves fully faithful?
mathoverflow.net
18
Are all vector-space valued functors on sets free?
mathoverflow.net
18
Recovering an abelian category from the Ext of its simple objects
mathoverflow.net
18
If the tensor power $M^{\otimes n} = 0$, is it possible that $M^{\otimes n-1}$ is nonzero?
math.stackexchange.com
18
Is it true that a flat module is torsion-free over an arbitrary ring? Does the reverse implication hold for finitely generated modules?
math.stackexchange.com
17
Torsion-free abelian group $A$ such that $A \not \simeq A \oplus \Bbb Z \simeq A \oplus \Bbb Z^2$
mathoverflow.net
17
Tilting Objects in BGG Categories $\mathcal{O}$
mathoverflow.net
17
A group whose automorphism group is cyclic
mathoverflow.net
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