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 …

In this paper we develop a Brauer group theory for algebras which are group graded and
acted upon by the same group. This generalizes some recent work of Knus and Childs …

In this paper we aim to present a~~ homological interperation of the graded Brauer group of
a Z-graded comtative ring R, as introduced in [I31 by F. Van Oystaeyen. This graded Brauer …

O. Introduction. If C is a commutative graded ring, then it seems to be a natural question to
ask in what way the presence of the graded structure on the ring reflects in the structure of …

Topic of this paper is the study of certain relations between the Brauer group of a Z-graded
commutative ring C and a so called" graded" Brauer group (par abus de language) obtained …

The theory of grdded rlngs splits into two separate but related chapters: Z-graded rings on
one hand and rings graded by other groups on the other. Rings which are graded by the …

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 …

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 …

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 the study of the Brauer group, Br (D), of a commutative ring D, the subgroup Br (S/D),
consisting of the classes a E Br (D) split by the ringextension S of D, play, a fundamental …