FPF ring theory : faithful modules and generators of mod-R

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Module theory

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Quasi-Frobenius ring

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Quasi-Frobenius Rings

Nesbitt , and R. A ring R is quasi-Frobenius if and only if R satisfies any of the following equivalent conditions:.

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A Frobenius ring R is one satisfying any of the following equivalent conditions. A ring R is right pseudo-Frobenius if any of the following equivalent conditions are met:.

Carl Clifton Faith

A ring R is right finitely pseudo-Frobenius if and only if every finitely generated faithful right R module is a generator of Mod- R. In the seminal article Thrall , R. Thrall focused on three specific properties of finite-dimensional QF algebras and studied them in isolation.

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Quasi-Frobenius Rings | SpringerLink

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What is a Module? (Abstract Algebra)

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