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Strongly relative regular modules and excellent extensions of rings. (English) Zbl 1438.16024

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
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