For a finitely generated module E over the Noetherian ring R we consider formulas for the Krull dimension of the symmetric algebra S(E). A result of Huneke and Rossi is re-proved and an eiffective formulais derived that ...

We investigate the behavior of finitely generated projective modules over a down-up algebra. Specifically, we show that every noetherian down-up algebra A(α,β,γ) has a non-free, stably free right ideal. Further, we compute ...

Se estudian los anillos Noetherianos, variedades algebraicas afines y resultados importantes de ellos, como el Teorema de los ceros de Hilbert (Nullstellesatz), el cual nos da una correspondencia entre conjuntos algebraicos ...

We show that if X is a toric scheme over a regular commutative ring k then the direct limit of the K-groups of X taken over any infinite sequence of nontrivial dilations is homotopy invariant. This theorem was previously ...

En el presente trabajo examinamos una construcción de campos de series de Hahn de dp-rango finito y estudiamos una relación entre el dp-rango de sus anillos de valuación con su dimensión de Krull.