… the negative Tate cohomology ring H ˆ ≤ 0 ( H , k ) can be realized as the endomorphism
ring of the trivial module in a Verdier localization of the stable category of kG-modules for G an …

… in C ${\mathcal {C}}$ is a local ring, … endomorphism ring in C ${\mathcal {C}}$ of a compact
object is not finitely presented as a module over the endomorphism ring of the trivial module. …

… the class of the rings that can be realized as endomorphism rings of artinian modules, and
serial rings belonging to this … The first trivial examples of finitely definable subgroups of an R-…

… to multiplication module terminology. … module, then every endomorphism of M is trivial (See
Theorem 3) and some other related properties of endomorphisms of multiplication modules …

… R-module and E = End,(P) be its endomorphism ring. If P is finitely generated as an R-module, …
We say that Pit(R) is trivial if whenever Q is a projective R-module and End(,Q) N Ro then …

… Artinian ring resp. Noetherian prime ring containing a right ideal whose endomorphism ring
… It is then trivial to see that B must be a two-sided order in A. This completes the proof of the …

… ring 3 to be co-noetherian if every quotient of a fe module 1s fe (equivalently every fe module
is artinlan), Any ring i … fe module is noetherian is called a co-artlr-ian ring by KR Fuller [9]. In …

… Each copy of the R-module Ar has a non-trivial cotorsion submodule and B as well as G,
if of size A, … Hence modules of cardinality A do not have the desired endomorphism ring. …

… module. In this section we show that the endomorphism ring of this uniform module is
also commutative. For any i?-module M it is easy to see that one has an exact sequence …

… a module for which the endomorphism ring is a division ring D to this setting (via an appropriate
choice of base ring … case, for a module having a division ring as its endomorphism ring. …