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We prove here, among other results, that if R is a commutative noetherian ring and
projective R [x 1,…, xn]-modules of rank⩽ Krull dim R are extended, then finitely generated …

In this article, we introduce a new type of projective modules, called the weak w-projective
module. By using this type of modules, we give a homological characterization of Krull …

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 …

This paper is motivated by a recent work of C. Faith who has proved that a quotient finite
dimensional module which satisfies the ascending chain condition on subdirectly irreducible …

Projective modules over the real algebraic sphere of dimension 3 Page 1 Journal of
Algebra 325 (2011) 18–33 Contents lists available at ScienceDirect Journal of Algebra www.elsevier.com/locate/jalgebra …

Finite injective dimension over pullbacks of local rings Page 1 COMMUNICATIONS IN
ALGEBRA, 22(8), 3015-3022 (1994) FINITE INJECTIVE DIMENSION OVER PULLBACKS OF …

If R is a commutative Noetherian ring of Krull dimension n, then it follows from a celebrated
theorem of Serre [1, Theorem IV. 2.5] that all finitely generated indecomposable projective …

We prove that every serial ring R has the isolation property: every isolated point in any
theory of modules over R is isolated by a minimal pair. Using this we calculate the Krull …

ON STABLY EXTENDED PROJECTIVE MODULES OVER POLYNOMIAL RINGS Page 1
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 97, Number 4 …