The Jordan regular ring associated to a finite JBW-algebra
\textit{S. K. Berberian} [Ann. Math., II. Ser. 65, 224-240 (1957; Zbl 0085.099)] showed that a finite \(AW^*\)-algebra A can be embedded in a continuous *-regular ring R such that R has no new self-adjoint idempotents. The authors extend Berberian's results to a finite JBW- algebra A showing that A can be embedded in a von Neumann regular Jordan ring.
scientific article; zbMATH DE number 4011216