Abstract
In this chapter, we present a list of open problems and questions to stimulate further research on the material discussed in this monograph.
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References
Behn, A.: Polycyclic group rings whose principal ideals are projective. J. Algebra 232, 697–707 (2000)
Birkenmeier, G.F., Heatherly, H.E., Kim, J.Y., Park, J.K.: Triangular matrix representations. J. Algebra 230, 558–595 (2000)
Birkenmeier, G.F., Müller, B.J., Rizvi, S.T.: Modules in which every fully invariant submodule is essential in a direct summand. Commun. Algebra 30, 1395–1415 (2002)
Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: Modules with fully invariant submodules essential in fully invariant summands. Commun. Algebra 30, 1833–1852 (2002)
Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: Generalized triangular matrix rings and the fully invariant extending property. Rocky Mt. J. Math. 32, 1299–1319 (2002)
Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: Ring hulls and applications. J. Algebra 304, 633–665 (2006)
Birkenmeier, G.F., Park, J.K., Rizvi, S.T.: Modules with FI-extending hulls. Glasg. Math. J. 51, 347–357 (2009)
Lee, G., Rizvi, S.T., Roman, C.: Rickart modules. Commun. Algebra 38, 4005–4027 (2010)
Lee, G., Rizvi, S.T., Roman, C.: Dual Rickart modules. Commun. Algebra 39, 4036–4058 (2011)
Lee, G., Rizvi, S.T., Roman, C.: Direct sums of Rickart modules. J. Algebra 353, 62–78 (2012)
Rizvi, S.T., Roman, C.S.: Baer and quasi-Baer modules. Commun. Algebra 32, 103–123 (2004)
Rizvi, S.T., Roman, C.S.: On \(\mathcal{K}\)-nonsingular modules and applications. Commun. Algebra 35, 2960–2982 (2007)
Rizvi, S.T., Roman, C.S.: On direct sums of Baer modules. J. Algebra 321, 682–696 (2009)
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Birkenmeier, G.F., Park, J.K., Rizvi, S.T. (2013). Open Problems and Questions. In: Extensions of Rings and Modules. Springer, New York, NY. https://doi.org/10.1007/978-0-387-92716-9_11
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DOI: https://doi.org/10.1007/978-0-387-92716-9_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-92715-2
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