Year: 2025
Type: article
Abstract: Two extension problems are solved. First, the class of locally matricial algebras over an arbitrary field is closed under extensions. Second, the class of locally finite dimensional semisimple algebras over a fixed field is closed under extensions if and only if the base field is perfect. Regardless of the base field, extensions of the latter type are always locally unit-regular.
Author: K. R. Goodearl
Institution: University of California, Santa Barbara
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415978675
FWCI:
Cites:
Cited by:
Related to: