1 citations · 1 across the 6 of their papers we have counts for
6 papers
Two-sided vector spaces
A. Nyman, C. J. Pappacena
We study the structure of two-sided vector spaces over a perfect field . In particular, we give a complete characterization of isomorphism classes of simple two-sided vector spa…
Frobenius bimodules between noncommutative spaces
Christopher J. Pappacena
In this paper we study Frobenius bimodules between noncommutative spaces (quasi-schemes), developing some of their basic properties. If X and Y are spaces, we study those Frobenius…
The BGQ spectral sequence for noncommutative spaces
Christopher J. Pappacena
We prove an analogue of the Brown-Gersten-Quillen (BGQ) spectral sequence for noncommutative spaces. As applications, we consider this spectral sequence for affine and projective s…
Affine semiprime algebras of GK dimension one are (still) pi
Christopher J. Pappacena, Lance W. Small, Jeanne Wald
In this note, we give a new proof of the fact that an affine semiprime algebra R of Gelfand-Kirillov dimension 1 satisfies a polynomial identity. Our proof uses only the growth pro…
Automorphisms of tiled orders
Jeremy Haefner, Christopher J. Pappacena
Let Lambda be a tiled R-order. We give a description of Aut_R(Lambda) as the semidirect product of Inn(Lambda) and a certain subgroup of Aut(Q(Lambda)), where Q(Lambda) is the link…
The injective spectrum of a noncommutative space
Christopher J. Pappacena
For a noncommutative space X, we study Inj(X), the set of isomorphism classes of indecomposable injective X-modules. In particular, we look at how this set, suitably topologized, c…