1 citations · 2 across the 6 of their papers we have counts for
6 papers
Noncommutative Images of Commutative Spectra
Edward S. Letzter
We initiate a unified, axiomatic study of noncommutative algebras R whose prime spectra are, in a natural way, finite unions of commutative noetherian spectra. Our results illustra…
The Closed-Point Zariski Topology for Irreducible Representations
K. R. Goodearl, E. S. Letzter
In previous work, the second author introduced a topology, for spaces of irreducible representations, that reduces to the classical Zariski topology over commutative rings but prov…
Commutator Hopf subalgebras and irreducible representations
Edward S. Letzter
S. Montgomery and S. Witherspoon proved that upper and lower semisolvable, semisimple, finite dimensional Hopf algebras are of Froebenius type when their dimensions are not divisib…
On the parameterization of primitive ideals in affine PI algebras
Edward S. Letzter
We consider the following question, concerning associative algebras R over an algebraically closed field k: When can the space of (equivalence classes of) finite dimensional irredu…
A Remark on Closed Noncommutative Subspaces
Edward S. Letzter
Given an abelian category with arbitrary products, arbitrary coproducts, and a generator, we show that the closed subspaces (in the sense of A. L. Rosenberg) are parameterized by a…
On Continuous and Adjoint Morphisms Between Noncommutative Prime Spectra
Edward S. Letzter
We study topological properties of the correspondence of prime spectra associated to a noncommutative ring homomorphism R -> S. Our main result provides criteria for the adjointnes…