When is the Intersection of Two Finitely Generated Subalgebras of a Polynomial Ring Also Finitely Generated?

Ring With All Finitely Generated Modules Retractable

A characterization of finitely generated multiplication modules

 Let $R$ be a commutative ring with identity and $M$ be a finitely generated unital $R$-module. In this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. Moreover, we investigate some conditions which imply that the module $M$ is the direct sum of some cyclic modules and free modules. Then some properties of Fitting ideals o...

ring with all finitely generated modules retractable

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

Presentations of Finitely Generated Submonoids of Finitely Generated Commutative Monoids

We give an algorithmic method for computing a presentation of any finitely generated submonoid of a finitely generated commutative monoid. We use this method also for calculating the intersection of two congruences on Np and for deciding whether or not a given finitely generated commutative monoid is t-torsion free and/or separative. The last section is devoted to the resolution of some simple ...