More on the Schur group of a commutative ring
1985 ◽
Vol 8
(3)
◽
pp. 513-520
Keyword(s):
The Schur group of a commutative ring,R, with identity consists of all classes in the Brauer group ofRwhich contain a homomorphic image of a group ringRGfor some finite groupG. It is the purpose of this article to continue an investigation of this group which was introduced in earler work as a natural generalization of the Schur group of a field. We generalize certain facts pertaining to the latter, among which are results on extensions of automorphisms and decomposition of central simple algebras into a product of cyclics. Finally we introduce the Schur exponent of a ring which equals the well-known Schur index in the global or local field case.
1985 ◽
Vol 8
(2)
◽
pp. 275-282
◽
Keyword(s):
1976 ◽
Vol 28
(3)
◽
pp. 533-552
◽
Keyword(s):
1966 ◽
Vol 27
(2)
◽
pp. 625-642
◽
1978 ◽
Vol 19
(1)
◽
pp. 75-77
◽
Keyword(s):