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Split-null extensions of strongly right bounded rings. (English) Zbl 0721.16018
A ring R is strongly right boundary if every nonzero right ideal contains a nonzero ideal. If M is an R-R-bimodule let S be the trivial extension of M by R. The author gives some conditions under which S is strongly right bounded and also investigates conditions under which S is right quasi-FPF.

MSC:
16S70 Extensions of associative rings by ideals
16D25 Ideals in associative algebras
16D50 Injective modules, self-injective associative rings
16L60 Quasi-Frobenius rings
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