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Více informací o knize Some Generalizations of Quasi-Dedekind Modules

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Anotace knihy

A module M over a associative ring with unity R is called quasi-Dedekind if every nonzero submodule of M is quasi-invertible (Equivalently a module M is quasi-Dedekind if for any nonzero homomorphism f from M to itself, f is monomorphism). In this book we study essentially quasi-Dedekind modules as a generalization of quasi-Dedekind modules, where an R-module M is said to be essentially quasi-Dedekind if every essential submodule of M is quasi-invertible. We prove that this concept is equivalent to the concept K-nonsingular modules, where a module M is said to be K-nonsingular if for each nonzero homomorphism f from M to itself implies Kerf is not essential in M. We studied the relationships between this concept and several other types of modules such as: quasi-Dedekind, prime, essentially prime, scalar, nonsingular, monoform, Baer and compressible modules,... etc. Beside, we present the concept of small quasi-Dedekind module as another generalization of quasi-Dedekind module, where an R-module M is called small quasi-Dedekind if for each nonzero homomorphism f from M to itself, Kerf is small in M.

Parametry knihy

• Plný název: Some Generalizations of Quasi-Dedekind Modules
• Autor: Tha'ar Younis Ghawi, Inaam M-A Hadi
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 136
• EAN: 9783659918261
• ID: 13926304
• Nakladatelství: LAP Lambert Academic Publishing
• Hmotnost: 219 g
• Rozměry: 220 × 150 × 8 mm
• Rok vydání: 2016

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