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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Springer Tracts in Advanced Roboticshe notions of Baer, quasi-Baer, and Rickart modules are introduced and studied. Similar to the fact that every Baer ring is nonsingular, we shall see that every Baer module satisfies a weaker notion of nonsingularity of modules (.-nonsingularity) which depends on the endomorphism ring of the module.

使服水土

https://doi.org/10.1007/3-540-46761-0criterion for a ring with a complete set of triangulating idempotents to be quasi-Baer is provided. A structure theorem for a quasi-Baer ring with a complete set of triangulating idempotents is shown using complete triangular matrix representations. A number of well known results follow as consequen

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Spinal-Tap

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雪上輕舟飛過(guò)

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https://doi.org/10.1007/978-1-349-22731-0heory. The chapter begins with the development of necessary and sufficient conditions on a ring so that its maximal right ring of quotients can be decomposed into a direct products of indecomposable rings or into a direct products of prime rings. This relies on results on the idempotent closure clas

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a description of the classes of rings and modules covered in.The focus of this monograph is the study of rings and modules which have a rich supply of direct summands with respect to various extensions. The first four chapters of the book discuss rings and modules which generalize injectivity (e.g.,

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abduction