- any
commutative Noetherian ring is a
semilocal ring. The
endomorphism ring of an
Artinian module is a
semilocal ring. Semi-local
rings occur for example...
- In mathematics,
specifically algebraic topology, semi-locally
simply connected is a
certain local connectedness condition that
arises in the
theory of...
-
cardinal number א. The zero ring is not a
local ring. It is, however, a
semilocal ring. The zero ring is
Artinian and (therefore) Noetherian. The spectrum...
- R. Yet
another characterization of
semiperfect rings is that they are
semilocal rings whose idempotents lift
modulo J(R). One may
define a
partial order...
- (or left)
coherent semiprimary,
right (or left) perfect,
semiperfect semilocal Examples of
properties which are not
Morita invariant include commutative...
-
rings with
maximal ideal P, the top of M is M/PM. In
general if R is a
semilocal ring (=semi-artinian ring), that is, if R/Rad(R) is an
Artinian ring,...
- "Study of
Alkylthiolate Self-****embled
Monolayers on Au(111)
Using a
Semilocal meta-GGA
Density Functional".
Journal of
Physical Chemistry. 116 (13):...
-
right self-injective and a
right Kasch ring. R is
right self-injective,
semilocal and the
socle soc(RR) is an
essential submodule of R. R is a cogenerator...
- the zero ring)
satisfies IBN, as does any left-Noetherian ring and any
semilocal ring.
Proof Let A be a
commutative ring and ****ume
there exists an A-module...
-
hollow dimension either as a left or
right R-module are
precisely the
semilocal rings. An
additional corollary of Varadarajan's
result is that RR has...
