IDEALS GENERATED BY THREE ELEMENTS idealI,d(R\l)=h. Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 35, No. 1, September 1972 IDEALS …

R denotes an associative ring with identity. Module means unitary right R-module. A module
has finite Goldie dimension over R if it does not contain an infinite direct sum of nonzero …

Let R be an associative ring and denote by the injective hull of the right module RR. If can be
endowed with a ring multiplication which extends the existing module multiplication, we say …

We give a simplified proof to the following theorem due to D. Quillen: if A is a commutative
noetherian ring of global dimension $\leqslant 1$, then finitely generated projective modules …

[1; 2; 3]. A module will be said to have dimension n if it has a basis of length w, and if all of its
bases are of the same length. A ring A will be called dimensional if all finitely based …

All the rings considered in this paper will be commutative and have multiplicative identities.
Such a ring is called trivial if it consists of just one (zero) element: it is to be understood that …

Core of projective dimension one modules Page 1 manuscripta math. 111, 427–433 (2003) ©
Springer-Verlag 2003 Alberto Corso · Claudia Polini · Bernd Ulrich Core of projective dimension …

Recently KR Goodearl and D. Handelman [6] have studied simple regular rings from the
point of view of dimension-like functions. They have shown that there exists a unique …

Suppose R is a commutative noetherian ring and M is a finitely generated R-module. If it is
known that all localizations M r of M can be generated by r elements, it is reasonable to look …

Let R be a commutative Noetherian ring. Let P (R)(respectively, I (R)) be the category of all
finite R-modules of finite projective (respectively, injective) dimension. Sharp [9] constructed …