On prime rings whose central closure is finitely generated

M. Chebotar, Wen-Fong Ke, P. H. Lee, E. R. Puczyłowski

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of the paper is to study prime rings R such that the central closure RC is a simple ring with 1 and it is finitely generated over R by elements of the extended centroid C, that is, RC=R[c1,…,cn], for some c1,…,cn∈C. In particular, we will show that if there exists a prime ring with zero center whose central closure is simple with 1 and generated by finitely many central elements, then there exists such a ring whose central closure is generated by two central elements.

Original languageEnglish
Pages (from-to)282-289
Number of pages8
JournalJournal of Algebra
Volume488
DOIs
Publication statusPublished - 2017 Oct 15

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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