Geodesic
Mal'tsev--Neumann products of semi-simple classes of rings
Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 4, pp. 415-421.

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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, $\mathcal{S}_{1}\circ\mathcal{S}_{2}$ and $\mathcal{S}_{2}\circ\mathcal{S}_{1}$ of semi-simple classes $\mathcal{S}_{1}$ and $\mathcal{S}_{2}$ are semi-simple classes if and only if they are equal.
DOI : 10.14712/1213-7243.2023.004
Classification : 08C99, 16N80
Keywords: radical class; semi-simple class; Mal'tsev--Neumann product 
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Gardner, Barry James. Mal'tsev--Neumann products of semi-simple classes of rings. Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 4, pp. 415-421. doi : 10.14712/1213-7243.2023.004. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2023.004/

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