On prime rings whose central closure is finitely generated

M. Chebotar, W. F. Ke, P. H. Lee, E. R. Puczyłowski

研究成果: Article同行評審


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.

頁(從 - 到)282-289
期刊Journal of Algebra
出版狀態Published - 2017 10月 15

All Science Journal Classification (ASJC) codes

  • 代數與數理論


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