Algebraic prime subalgebras in simple Artinian algebras
Resource
Linear Algebra and Its Applications 428 (4): 881-889
Journal
Linear Algebra and Its Applications
Journal Volume
428
Journal Issue
4
Pages
881-889
Date Issued
2008
Author(s)
Zhou, Y.
Abstract
We prove a Wedderburn-Artin type theorem for algebraic prime subalgebras in simple Artinian algebras, giving a generalized version of Yahaghi's theorem [B.R. Yahaghi, On F-algebras of algebraic matrices over a subfield F of the center of a division ring, Linear Algebra Appl. 418 (2006) 599-613]. We also show that every semiprime left algebraic subring in a semiprime right Goldie ring must be a semiprime Artinian ring. © 2007 Elsevier Inc. All rights reserved.
Type
journal article
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