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

[摘要] 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.

[学科分类] 物理化学和理论化学

[关键词] radical class;semi-simple class;Mal'tsev-Neumann product