Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Gray, James Richard Andrew"'
Autor:
Gray, James Richard Andrew
The main purpose of this paper is to show that the converse of the known implication weakly action representable implies action accessible is false. In particular we show that both action accessibility, as well as the (at least formally stronger) con
Externí odkaz:
http://arxiv.org/abs/2207.06149
We give an alternative criteria for when a pair of Bourn-normal monomorphisms Huq-commute in a unital category. We use this to prove that in a unital category, in which a morphism is a monomorphism if and only if its kernel is zero morphism, a pair o
Externí odkaz:
http://arxiv.org/abs/2206.12855
Autor:
Gray, James Richard Andrew
We introduce the notions of proto-complete, complete, complete* and strong-complete objects in pointed categories. We show under mild conditions on a pointed exact protomodular category that every proto-complete (respectively complete) object is the
Externí odkaz:
http://arxiv.org/abs/2102.09834
Autor:
Gray, James Richard Andrew
For a category $\mathbb{C}$, a small category $\mathbb{I}$, and a pre-cover relation $\sqsubset$ on $\mathbb C$ we prove, under certain completeness assumptions on $\mathbb C$, that a morphism $g: B\to C$ in the functor category $\mathbb {C}^{\mathbb
Externí odkaz:
http://arxiv.org/abs/2011.06903
When $\mathbb C$ is a semi-abelian category, it is well known that the category $\mathsf{Grpd}(\mathbb C)$ of internal groupoids in $\mathbb C$ is again semi-abelian. The problem of determining whether the same kind of phenomenon occurs when the prop
Externí odkaz:
http://arxiv.org/abs/2009.09486
Autor:
Gray, James Richard Andrew
Publikováno v:
Advances in Mathematics 349 (2019) 911-919
A well-known theorem of P. Hall, usually called Hall's criterion for nilpotence, states: a group G is nilpotent whenever it has a normal subgroup N such that G/[N,N] and N are nilpotent. We widely generalize this result, replacing groups with objects
Externí odkaz:
http://arxiv.org/abs/1811.10344
Autor:
Gray, James Richard Andrew
Publikováno v:
In Journal of Pure and Applied Algebra April 2022 226(4)
Autor:
Gray, James Richard Andrew
Includes bibliographical references (p. 101-102).
We study two categorical-algebraic concepts of exponentiation:(i) Representing objects for the so-called split extension functors in semi-abelian and more general categories, whose familiar examp
We study two categorical-algebraic concepts of exponentiation:(i) Representing objects for the so-called split extension functors in semi-abelian and more general categories, whose familiar examp
Externí odkaz:
http://hdl.handle.net/11427/10519
We make explicit a larger structural phenomenon hidden behind the existence of normalizers in terms of existence of certain cartesian maps related to the kernel functor.
Externí odkaz:
http://arxiv.org/abs/1307.4845
Autor:
GRAN, MARINO1 marino.gran@uclouvain.be, GRAY, JAMES RICHARD ANDREW2 jamesgray@sun.ac.za
Publikováno v:
Theory & Applications of Categories. 2021, Vol. 37, p1-13. 13p.