The Diamond Lemma for Ring Theory* Page 1 ADVANCES IN MATHEMATICS 29, 178-218
(1978) The Diamond Lemma for Ring Theory* GEORGE M. BERGMAN Department of …

Crossed products are another meeting place for group theory and ring theory. Historically,
they first occurred in the study of finite dimensional division algebras and central simple …

Page 1 PURE AND APPLIED MATHEMATICS A Series of Monographs and Textbooks LINEAR
ALGEBRA OVER COMMUTATIVE RINGS Bernard R. McDonald Page 2 Linear Algebra Over …

Universitext is a series of textbooks that presents material from a wide variety of
mathematical disciplines at master's level and beyond. The books, often well class-tested by …

Let $ R $ be an algebra over a field $ k $, and $ P, Q $ be two nonzero finitely generated
projective $ R $-modules. By adjoining further generators and relations to $ R $, one can …

We study the structure of the set of nilpotent elements in Armendariz rings and introduce nil-
Armendariz as a generalization. We also provide some new examples by proving that if D is …

Further Algebra and Applications is the second volume of a new and revised edition of PM
Cohn's classic three-volume text" Algebra" which is widely regarded as one of the most …

We systematically study rings whose units are all unipotent. The first main result is that a ring
R has this property if and only if R has a 2-power characteristic and the unit group of R is a …

Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and JHC
Whitehead. Much work in this area has been done since then, and this book considers the …

The construction of the Leavitt path algebra associated to a directed graph E is extended to
incorporate a family C consisting of partitions of the sets of edges emanating from the …