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- W2078582344 abstract "A module M is called (strongly) FI-extending if every fully invariant submodule of M is essential in a (fully invariant) direct summand of M. A ring R with unity is called quasi-Baer if the right annihilator of every ideal is generated, as a right ideal, by an idempotent. For semi-prime rings the FI-extending condition, strongly FI-extending condition and quasi-Baer condition are equivalent. In this paper we fully characterize the 2-by-2 generalized (or formal) triangular matrix rings which are either (right) FI-extending, (right) strongly FI-extending, or quasi-Baer. Examples are provided to illustrate and delimit our results." @default.
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- W2078582344 date "2002-12-01" @default.
- W2078582344 modified "2023-10-14" @default.
- W2078582344 title "Generalized Triangular Matrix Rings and the Fully Invariant Extending Property" @default.
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- W2078582344 doi "https://doi.org/10.1216/rmjm/1181070024" @default.
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