As its title indicates, this monograph aims to link the notions of compatibility and stability of
idempotent kernel functors. Compatibility of idempotent kernel functors and their associated …

This book completely solves the problem of representing rings (and modules over them),
which are locally noetherian over subsets of their prime spectrum by structure sheaves over …

Let R be a commutative noetherian ring and let t? denote the sheaf on Spec (R), canonically
associated to an R-module M, thenDelignels formula, cf.[Ha, Exercise I11 3.7. 1, state3 that …

In the first part of this note, we have introduced a version of the (strong) second layer
condition for tings R which are relatively Noetherian with respect to some radical 2 in R-rood …

In this note, we introduce a version of the (strong) second layer condition for rings R which
are relatively Noetherian with respect to some radical 2 in R-mad and study its impact on …

0. Introduction. One of the main problems one aimed to solve in [24, 251 is that of
associating to any prime affine pi algebra R a geometric object, which generalizes the affine …

1. Introduction and Definitions. A right R-module M over a right Noetherian ring R is called 8-
stable for an ordinal P provided the set of finitely generated submodules of M with Krull …

It is a well-known fact that for commutative noetherian rings there exists a bijective
correspondence between the prime ideals of the ring and the isomorphism classes of …

Classical Krull dimension and the second layer condition Page 239 224 CLASSICAL KRULL
DIMENSION AND THE SECOND LAYER CONDITION KARL A. KOSLER Department of …

Let C be an (Ab. 4⁎) Grothendieck category, that is, products are exact in C. Given a
hereditary torsion class T⊆ C, we study the exactness of products in the Gabriel localization …