Rings which are sums of two subrings

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Abstract

The main results concern radicals and polynomial identities of rings which are sums of two subrings. It is proved that a ring which is a sum of a nil subring of bounded index and a ring satisfying a polynomial identity also satisfies a polynomial identity. Filds which are sums of two Jacobson radical subrings are classified. Several open questions are answered.

MSC

16W99
16R99
16N99

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