Knowledge graph embedding (KGE) is an increasingly popular technique that aims to
represent entities and relations of knowledge graphs into low-dimensional semantic spaces …

Gathers and unifies the results of the theory of noncommutative semigroup rings, primarily
drawing on the literature of the last 10 years, and including several new results. Okninski …

The landscape of homological algebra has evolved over the past half-century into a
fundamental tool for the working mathematician. This book provides a unified account of …

A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a
mathematician needs to know about category theory. Each volume is self-contained and is …

This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all
four combinations are equivalent). The study of these rings grew out of the theory of …

We make a general study of Quillen model structures on abelian categories. We show that
they are closely related to cotorsion pairs, which were introduced by Salce [Sal79] and have …

This book has two goals. On the one hand it develops a completely new unifying theory of
self-dual codes that enables us to prove a far-reaching generalization of Gleason's theorem …

This volume highlights the links between model theory and algebra. The work contains a
definitive account of algebraically compact modules, a topic of central importance for both …

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 …