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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...

specifically algebraic topology, the semi-locally simply connected (or semilocally simply connected) property is a certain local connectedness condition...

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...

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,...

(or left) coherent semiprimary, right (or left) perfect, semiperfect semilocal Examples of properties which are not Morita invariant include commutative...

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...

Scientific. ISBN 9789814554084. Vachaspati, Tanmay; Achúcarro, Ana (1991). "Semilocal cosmic strings". Physical Review D. 44 (10): 3067–3071. Bibcode:1991PhRvD...

the zero ring) satisfies IBN, as does any left-Noetherian ring and any semilocal ring. Proof Let A be a commutative ring and assume there exists an A-module...

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...

molecular dynamics simulation of biomolecules on GPUs. Uses the SO3krates semilocal many-body potential (a transformer_along with universal pairwise force...

if so is R {\displaystyle R} , and this implies that local rings and semilocal rings are also Dedekind-finite. This extends to the fact that, given a...

quadratic Pfister forms. Baeza, Ricardo (2006). Quadratic Forms Over Semilocal Rings. Springer. ISBN 9783540358169. Member profile, Chilean Academy of...

"Study of Alkylthiolate Self-assembled Monolayers on Au(111) Using a Semilocal meta-GGA Density Functional". Journal of Physical Chemistry. 116 (13):...

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...

ring, but R is not a von Neumann regular ring. More generally in any semilocal ring the Jacobson radical J is quotient von Neumann regular, since R/J...

space is first-countable, separable, and Lindelöf. Semilocally simply connected A space X is semilocally simply connected if, for every point x in X, there...

is a Bézout module. It is known that the endomorphism ring EndR M is a semilocal ring which is very close to a local ring in the sense that EndR M has...

the identity. If H is a path-connected, locally path-connected, and semilocally simply connected group then it has a universal cover. By the previous...

or module is the smallest saturated subset containing it. semilocal semi-local 1.  A semilocal ring is a ring with only a finite number of maximal ideals...

finite subcover. The Hawaiian earring is neither simply connected nor semilocally simply connected since, for all n ≥ 1 , {\displaystyle n\geq 1,} the...