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Titlebook: Extensions of Rings and Modules; Gary F. Birkenmeier,Jae Keol Park,S Tariq Rizvi Textbook 2013 Springer Science+Business Media New York 20

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Combining Empirical and Analytical Learning, the FI-extending properties to various ring extensions of the given ring is carried out. The extensions of a ring considered, include its matrix (both finite and infinite), polynomial, Ore, and group ring extensions. A characterization of a semiprime quasi-Baer group algebra is presented as a consequence.
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https://doi.org/10.1007/978-3-030-15360-1oincide. It is shown that there are close connections between the FI-extending and the quasi-Baer properties for rings..One of the motivations for the study of the quasi-Baer and p.q.-Baer rings is the fact that they behave better with respect to various extensions than the Baer and Rickart rings. F
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Springer Tracts in Advanced Roboticsaer and quasi-Baer modules, since one can readily see that for any (quasi-)Baer ring . and an idempotent . in ., the right .-module .. is always a (quasi-)Baer module. It will be seen that every projective module over a quasi-Baer ring is a quasi-Baer module. Connections of a (quasi-)Baer module and
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Formation of Preliminary Assumptions,ll in the idempotent closure class of rings. For a semiprime ring, its idempotent closure hull coincides with the quasi-Baer ring hull and the FI-extending ring hull. In the fourth section, our focus is on modules. An in-depth-treatment is given to the known results on the existence of continuous hu
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David Lawrence,Frank Bretz,Stuart Pocockinite and infinite) and monoid ring extensions of a ring hull are compared to the corresponding ring hull of the matrix or monoid ring extension. Moreover, for a semiprime ring . which is Morita equivalent to a ring ., then their quasi-Baer ring hulls are also Morita equivalent.
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