Transactions of the American Mathematical Society, Vol. 299, No. 1 (Jan., 1987), pp. 373-386 (14 pages) It is proven that the group ring of an amalgamated free product of residually torsion free ...

Description: Review of fundamental structures of algebra (groups, rings, fields, modules, algebras): Jordan-Hlder and Sylow theorems; Galois theory; bilinear forms; modules over principal ideal ...

Algebraic structures form the backbone of modern abstract algebra, encapsulating a wide range of systems such as groups, rings, fields, and modules, each characterised by distinct axiomatic properties ...

This field examines the interplay between algebraic systems—such as groups, rings, fields and modules—and the powerful analytical framework provided by local-global principles. These principles offer ...

Let $R$ be a normal affine domain over the algebraically closed field $k$, and let $G$ be a connected algebraic group acting rationally on $R$. It is shown that the ...