5 citations · 10 across the 8 of their papers we have counts for
11 papers
Quotient bifinite extensions and the finitistic dimension conjecture
John William MacQuarrie, Fernando dos Reis Naves
We prove that if is an extension of finite dimensional algebras such that the projective dimension of as a -bimodule is finite, if has finite finitistic…
Semisimplicity and separability for pseudocompact algebras
Kostiantyn Iusenko, John MacQuarrie
In this expository article, we give a self-contained introduction to the wonderfully well-behaved class of pseudocompact algebras, focusing on the foundational classes of semisimpl…
Block theory and Brauer's first main theorem for profinite groups
Ricardo J. Franquiz Flores, John W. MacQuarrie
We develop the local-global theory of blocks for profinite groups. Given a field of characteristic and a profinite group , one may express the completed group algebra $k…
A functorial approach to Gabriel -quiver constructions for coalgebras and pseudocompact algebras
Kostiantyn Iusenko, John William MacQuarrie, Samuel Quirino
We define the path coalgebra and Gabriel quiver constructions as functors between the category of -quivers and the category of pointed -coalgebras, for a field. We define…
Comodules, contramodules and Pontryagin duality
John MacQuarrie, Ricardo Souza
Let be a -coalgebra, where is a field. The category of pseudocompact left -modules is dual to both the category of discrete right -modules and to the category…
Infinitely generated pseudocompact modules for finite groups and Weiss' Theorem
John MacQuarrie, Peter Symonds, Pavel Zalesskii
One of the most beautiful results in the integral representation theory of finite groups is a theorem of A. Weiss that detects a permutation -lattice for the finite -group $G…