8 citations · 16 across the 7 of their papers we have counts for
7 papers
Universal localisations of hereditary rings
Aidan Schofield
We describe all possible universal localisations of a hereditary ring in terms of suitable full subcategories of the category of finitely presented modules. For these universal loc…
Severe right Ore sets and universal localisation
Aidan Schofield
We introduce the notion of a severe right Ore set in the main as a tool to study universal localisations of rings but also to provide a short proof of P. M. Cohn's classification o…
On the number of subrepresentations of a general quiver representation
Harm Derksen, Aidan Schofield, Jerzy Weyman
It is well-known that the intersection multiplicities of Schubert classes in the Grassmanian are Littlewood-Richardson coefficients. We generalize this statement in the context of…
Representations of algebras as universal localizations
Amnon Neeman, Andrew Ranicki, Aidan Schofield
Every finitely presented algebra S is shown to be Morita equivalent to the universal localization σ^{-1}R of a finite dimensional algebra R. The construction provides many examples…
Birational classification of moduli spaces of vector bundles over
Aidan Schofield
The depth of a vector bundle E over the projective plane P^2 is the largest integer h such that [E]/h is in the Grothendieck group of coherent sheaves on P^2 where [E] is the class…
Birational classification of moduli spaces of representations of quivers
Aidan Schofield
Let αbe a Schur root; let h=hcf_v(α(v)) and let p = 1 - < α/h,α/h >. Then a moduli space of representations of dimension vector αis birational to p h by h matrices up to simultaneo…