Graph algebras possess the capacity to relate fundamental concepts of computer science,
combinatorics, graph theory, operations research, and universal algebra. They are used to …

This book contains the definitions of several ring constructions used in various applications.
The concept of a groupoid-graded ring includes many of these constructions as special …

This book exposes the internal structure of non-self-adjoint operators acting on complex
separable infinite dimensional Hilbert space, by analyzing and studying the commutant of …

CHARACTERIZATION OF TORSION THEORIES IN GENERAL Page 262 http://dx. doi. org/10.1090/conm/431/08276
- Contemporary Mathematics Volume 431, 2007 CHARACTERIZATION OF TORSION …

This thesis presents advances in the use of Canonical Structures, a programming language
construct of the Coq proof assistant equivalent to the notion of type classes. It provides a …

We consider automata defined by graph algebras of directed graphs, characterize all
congruences on these automata, and give a complete description of all automata of this type …

Each radical theory in the sense of Kurosh and Amitsur deals within a category of certain
(universal) algebras or other mathematical objects. Important items for such a theory are, for …

A ring R is prime essential if R is semiprime and for each prime ideal P of R, P∩ I≠ 0
whenever I is a nonzero two-sided ideal of R. Examples of prime essential rings include …

Bernstein-Gelfand-Gelfand showed that the derived category of coherent sheaves on the
projective n-space Db (cohPn) is equivalent to the stable ategory of the category of Z-graded …

In [8] Fisher defines an ideal L of a ring R to be essentially nilpotent if it contains a nilpotent
ideal N of R which is essential in L (ie, N has nonzero intersection with each nonzero ideal …