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Mal'tsev--Neumann products of semi-simple classes of rings

Barry James Gardner — 2022

Commentationes Mathematicae Universitatis Carolinae

Malt’tsev–Neumann products of semi-simple classes of associative rings are studied and some conditions which ensure that such a product is again a semi-simple class are obtained. It is shown that both products, $𝒮_{1} \circ 𝒮_{2}$ and $𝒮_{2} \circ 𝒮_{1}$ of semi-simple classes $𝒮_{1}$ and $𝒮_{2}$ are semi-simple classes if and only if they are equal.

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