Baer ring
http://dbpedia.org/resource/Baer_ring an entity of type: WikicatVonNeumannAlgebras
In abstract algebra and functional analysis, Baer rings, Baer *-rings, Rickart rings, Rickart *-rings, and AW*-algebras are various attempts to give an algebraic analogue of von Neumann algebras, using axioms about annihilators of various sets. Any von Neumann algebra is a Baer *-ring, and much of the theory of projections in von Neumann algebras can be extended to all Baer *-rings, For example, Baer *-rings can be divided into types I, II, and III in the same way as von Neumann algebras.
rdf:langString
rdf:langString
Baer ring
xsd:integer
7455223
xsd:integer
1088864825
rdf:langString
J.D.M. Wright
rdf:langString
L.A. Skornyakov
rdf:langString
A/a120310
rdf:langString
R/r080830
rdf:langString
R/r081840
rdf:langString
AW* algebra
rdf:langString
Regular ring
rdf:langString
Rickart ring
rdf:langString
In abstract algebra and functional analysis, Baer rings, Baer *-rings, Rickart rings, Rickart *-rings, and AW*-algebras are various attempts to give an algebraic analogue of von Neumann algebras, using axioms about annihilators of various sets. Any von Neumann algebra is a Baer *-ring, and much of the theory of projections in von Neumann algebras can be extended to all Baer *-rings, For example, Baer *-rings can be divided into types I, II, and III in the same way as von Neumann algebras. In the literature, left Rickart rings have also been termed left PP-rings. ("Principal implies projective": See definitions below.)
xsd:nonNegativeInteger
6108