In [14], Van Oystaeyen introduced the so-called graded Brauer group Brg (R) of a P-graded
commutative ring, in order to study the Brauer group of a projective variety (cf.[16]). The …

In this paper we study Krull domains graded by an arbitrary torsionless grading monoid г.
We generalize many of the well-known results for Krull domains graded by the integers. If …

It is a well-known fact in the theory of Brauer groups of commutative rings, that there exists a
natural monomorphism Br (R)~ H2 (R, U), where H2 (R, U) is the~ tale Brauer group of R. As …

Let R be a Krull domain with field of fractions K. By Br (R) we denote the Brauer group of R.
Studying the Kernel of the homomorphism Br (R). rarw. Br (K), Orzech defined Brauer groups …

In the theory of the Brauer group of a ring, local rings present a very nice case because
every Azur-aya alp-err? over a Local r lnr: is equivalent the Brauer group to a crossed …

1. The two papers [2,(in these proceedinps) complement one another. Verschoren's paper
discusses the construction of a Brauer group B (R, 0) attached to an kernel functor a on the …

Abstract In Caenepeel and Oystaeyen's [3] discussion of Bauer groups and the cohomology
of graded rings, the topic of commutative rings arises. Specifically, certain results arise …

In 1201 and 1211 F. Van Gystaeyen and the author related the (geometric) Brauer group Br
(X) of a projective variety X to the (arithmetical) Brauer group B~~(R) of the homogeneous …

Recently various authors have investigated the concept of a non-commutative Krull ring, eg
in [3],[9],[11] or [12], different types of non-commutative generalizations of Krull domains …

Let R be an integral domain with field of fractions K. In their fundamental paper [3],
Auslander and Goldman showed that reflexive modules play an important role in studying …