… canonical module (section 2), to show some elementary properties of the endomorphism ring
of a canonical module (… : L et A be a local ring with canonical module K and let p be a prime …

… R: any generator M of the category mod-R is balanced, and moreover, M is finitely
generated projective as a canonical left module over B = End MR. Now, if R is any simple …

… Then the canonical projections TRR (αe A) are surjective ring homomorphisms. … module
we mean an abelian group M and a ring homomorphism p of R into the right endomorphism ring …

… This map (GDQ)* is an F (a)-D-bimodule map; it follows that D is the endomorphism ring
of (¢Q)* considered as a left A-module (first, we only know that D is a subring of D’ = End A((¢>Q)…

… classes of rings, notably Rickart rings and Baer rings, Johnson's nonsingular rings, and Kasch
rings, … One good feature about stable finiteness is that there is a canonical procedure by …

… al rings. We became interested in the canonical modules of determinantal rings when their
… of a given rank and the modules associated to these maps [2]. The generic maps of rank r …

… one ring (the zero ring), but we should also destroy the useful property that the class of rings
is … Canonical epimorphisms and monomorphisms are defined for direct sums in exactly the …

… We have seen that for left perfect rings the class of projectives (and flats) is epi-correct. Is
there another condition which makes this happen? It is easy to see that the epi-correctness of …

This book is an introduction to the theory of rings and modules that goes beyond what one
normally … The theme of the text is the interplay between rings and modules. At times rings are …

… rings and modules suitable as a text for introductory and more advanced graduate courses.
We assume the familiarity with rings … a ring may possess and the behavior of its categories of …