Semi-simple extensions of rings

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Semi-simple Extensions of Rings

In this paper we investigate the conditions under which a given ring is a sub-ring of a semi-simple ring. For convenience, we say that a ring A is an extension of a ring B, if B is a sub-ring of A. It is found that the existence of a semi-simple extension is equivalent to the vanishing of the extension radical, a two-sided ideal defined analogously to the ordinary radical. In Theorem II we give...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1946

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1946-08704-2