Generalized Triangular Matrix Rings and the Fully Invariant Extending Property

By G. Birkenmeier, J. Park, S. Tariq Rizvi. 2002

49 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/58693f319e4a1519a2eab2bc57891249b8634dd8

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In Algebra and Number Theory

1. C. Roman
2. S. Tariq Rizvi
3. G. Birkenmeier
4. J. Park
5. Gangyong Lee

In Geometry and Topology

1. C. Roman
2. S. Tariq Rizvi
3. G. Birkenmeier
4. J. Park
5. Gangyong Lee

Citations in the corpus

• Baer and Quasi-Baer Modules (2004, methodology): “A large class of modules and rings are FI-extending, but not necessarily extending (for example, direct sums of uniform modules, ring of upper-triangular matrices over Z; see Birkenmeier et al., 2002a).”
• MODULES WITH FULLY INVARIANT SUBMODULES ESSENTIAL IN FULLY INVARIANT SUMMANDS (2002, background): “3, [1] , and [4] ), whereas the class of right extending rings is not closed under these matrix ring constructions.”