Zobrazeno 1 - 10
of 179
pro vyhledávání: '"Gray, James R."'
Autor:
Gray, James R. A.
We show that for a pointed protomodular category $\mathbb{C}$ satisfying a certain condition on those Huq commutators which exist, if $X$ is a perfect object in $\mathbb{C}$ such that the split extension classifier $[X]$ exists, then the centralizer
Externí odkaz:
http://arxiv.org/abs/2208.01133
It is known that the category of Lie algebras over a ring admits algebraic exponents. The aim of this paper is to show that the same is true for the category of internal Lie algebras in an additive, cocomplete, symmetric, closed, monoidal category. I
Externí odkaz:
http://arxiv.org/abs/2006.07077
Autor:
Gray, James R.1
Publikováno v:
British Columbia Medical Journal. Jul/Aug2023, Vol. 65 Issue 6, p207-210. 4p.
Publikováno v:
Theory Appl. Categ. 30 (2015), no. 54, 1864-1905
We call a finitely complete category algebraically coherent when the change-of-base functors of its fibration of points are coherent, which means that they preserve finite limits and jointly strongly epimorphic pairs of arrows. We give examples of ca
Externí odkaz:
http://arxiv.org/abs/1409.4219
Autor:
Gray, James R. A., Van der Linden, Tim
Publikováno v:
J. Pure Appl. Algebra 219 (2015) 2506-2520
We study the relation between Bourn's notion of peri-abelian category and conditions involving the coincidence of the Smith, Huq and Higgins commutators. In particular we show that a semi-abelian category is peri-abelian if and only if for each norma
Externí odkaz:
http://arxiv.org/abs/1404.3067
Publikováno v:
J. Pure Appl. Algebra 219 (2015) 897-912
In a semi-abelian context, we study the condition (NH) asking that Higgins commutators of normal subobjects are normal subobjects. We provide examples of categories that do or do not satisfy this property. We focus on the relationship with the "Smith
Externí odkaz:
http://arxiv.org/abs/1312.5474
We characterize those varieties of universal algebras where every split epimorphism considered as a map of sets is a product projection. In addition we obtain new characterizations of protomodular, unital and subtractive varieties as well as varietie
Externí odkaz:
http://arxiv.org/abs/1208.2032
Autor:
Bourn, Dominique, Gray, James R. A.
We analyse some aspects of the notion of algebraic exponentiation introduced by the second author [16] and satisfied by the category of groups. We show how this notion provides a new approach to the categorical-algebraic question of the centralizatio
Externí odkaz:
http://arxiv.org/abs/1112.4128
Autor:
Fuller, Donald B., Falchook, Aaron D., Crabtree, Tami, Kane, Brent L., Medbery, Clinton A., Underhill, Kelly, Gray, James R., Peddada, Anuj, Chen, Ronald C.
Publikováno v:
In European Urology Oncology December 2018 1(6):540-547
Autor:
Wang, Kyle, Chen, Ronald C., Kane, Brent L., Medbery, Clinton A., Underhill, Kelly J., Gray, James R., Peddada, Anuj V., Fuller, Donald B.
Publikováno v:
In International Journal of Radiation Oncology, Biology, Physics 1 December 2018 102(5):1430-1437