Olteanu, Gabriela Strongly relative regular modules and excellent extensions of rings. (English) Zbl 1438.16024 Mathematica 59(82), No. 1-2, 76-80 (2017). Summary: We study the transfer of some strong relative regularity of modules under excellent extensions of rings. In particular, we show that if \(S\) is an excellent extension of a ring \(R\), then \(R\) is strongly regular if and only if so is \(S\). MSC: 16E50 von Neumann regular rings and generalizations (associative algebraic aspects) 16D90 Module categories in associative algebras Keywords:strongly regular module; strongly regular ring; excellent extension of rings PDFBibTeX XMLCite \textit{G. Olteanu}, Mathematica 59(82), No. 1--2, 76--80 (2017; Zbl 1438.16024)