A comprehensive study of the main research done in polynomial identities over the last 25
years, including Kemer's solution to the Specht problem in characteristic O and examples in …

We develop the theory of “branch algebras”, which are infinite-dimensional associative
algebras that are isomorphic, up to taking subrings of finite codimension, to a matrix ring …

This edition presents the underlying ideas in recent polynomial identity (PI)-theory and
demonstrates the validity of the proofs of PI-theorems. It gives all the details involved in …

We introduce a new construction of matrix wreath products of algebras that is similar to
wreath products of groups. We then use it to prove embedding theorems for Jacobson …

Some results in noncommutative ring theory Page 1 Some results in noncommutative ring theory
Agata Smoktunowicz Abstract. In this paper we survey some results on the structure of …

Questions related to Koethe’s nil ideal problem Page 278 http://dx. doi. org/10.1090/conm/419/08010
Contemporary Mathematics Volume 419, 2006 Questions Related to Koethe’s Nil Ideal …

We study prime algebras of quadratic growth. Our first result is that if A is a prime monomial
algebra of quadratic growth then A has finitely many prime ideals P such that A/P has GK …

A result of Bergman says that the Jacobson radical of a graded algebra is homogeneous. It
is shown that while graded Jacobson radical algebras have homogeneous elements …

We introduce a new construction of matrix wreath products of algebras that is similar to the
construction of wreath products of groups introduced by L. Kaloujnine and M. Krasner [17] …

We study prime monomial algebras. Our main result is that a prime finitely presented
monomial algebra is either primitive or it has GK dimension one and satisfies a polynomial …