Multiplication modules and projective modules
Copyright policy )Multiplication modules and projective modules
Several equivalent formulations for a module \(M\) over a commutative ring \(R\) to be a multiplication module are established. If \(M\) is finitely generated, it must be projective over \(R/A\) (where \(A\) is the annihilator of \(M\) in \(R\)) with sme additional properties. In particular, the result of \textit{A. G. Naoum} [Period. Math. Hung. 21, No. 3, 249-255 (1990; Zbl 0739.13004)] is generalized.
- University of Glasgow United Kingdom
Other special types of modules and ideals in commutative rings, Commutative rings and modules of finite generation or presentation; number of generators, multiplication module, Projective and free modules and ideals in commutative rings
Other special types of modules and ideals in commutative rings, Commutative rings and modules of finite generation or presentation; number of generators, multiplication module, Projective and free modules and ideals in commutative rings
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