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Keywords:
radical class; semi-simple class; Mal'tsev--Neumann product
radical class; semi-simple class; Mal'tsev--Neumann product
Summary:
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.
References:
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