The term The Theory of Rings seems first used as title of a book by Jacobson [43], and in his
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …

For a finite group G, and a commutative ring R, the automorphisms of G inducing an inner
automorphism of the group ring RG form a group AutR (G). Let Autint (G)= AutA (G), where A …

In this note we shall construct a finite group G which has an automorphism α, which is not
inner; however, the induced automorphism on SG is inner, where S is the ring of algebraic …

I tis shown, that ifa minimal relationsplitsoffa maximal projective summand of rank pr (G),
then pr {G)±в the dif ference of the minimal number of generators of G and the minimal …

CG Latimer and CC MacDuffee defined in [8] a bijective correspondence between similarity
classes of nonsingular rational integral nxn matrices having a common separable …

Let R be a Dedekind domain satisfying the Jordan-Zassenhaus theorem (eg, the ring of
integers in a number field) and Λ a module finite R-algebra. We extend classical results of …

A NOETHER–DEURING THEOREM FOR DERIVED CATEGORIES Page 1 Glasgow Math. J.
54 (2012) 647–654. C Glasgow Mathematical Journal Trust 2012. doi:10.1017/S0017089512000237 …

Let G be a metabelian group and R an integral domain of characteristic zero, such that no
rational prime divisor of│ G│ is invertible in R. By RG we denote the group ring of G over R …

Let R be a commutative ring with 1 and A a module finite R-algebra. Let Mod A denote the
category of finitely generated A-modules. If R'is a commutative extension of R, one can form …

In this note we characterize certain types of semi–herediatry orders in a semisimple artinian
ring. The structures of such semi–hereditary orders happen to be somewhat similar to those …