… A ring R is an almost von Neumann regular ring (AVN-ring for short) if, for any two elements
a … possible transfer of the notions of almost von Neumann regular rings to the ring R:= A∆ E. …

… are special clean, we then show that the unit-regular elements of any regular ring satisfying
… unit-regular elements in a regular ring satisfying general comparability are pc-regular. The …

… (Γ), is the von Neumann algebra on ℓ2(Γ) generated by the left regular representation γ ↦→
λγ, … We saw above that for a Fuchsian group Γ there is, for s large enough and any z, simply …

… von Neumann regular ring. Keywords: non-singular ring, small module, compact object,
self-injective, von … Nevertheless, there are known large classes of infinitely generated modules …

… spacetime which may be weak completed in a Hilbert space to a von Neumann algebra [1–3].
Since von Neuman algebras admit a classification into factors of different types organized …

… Given a von Neumann algebra M equipped with a faithful normal strictly semifinite weight ϕ,
… of Murray–von Neumann dimension over (M, ϕ) that is defined for modules over the basic …

… On the other hand, non-amenable groups were used to provide large classes of non-isomorphic
II1 factors in [Sch63], [McD69], [Con75]. The first instance of rigidity for von Neumann …

… ring. Here the corresponding objects would therefore be the maximal two-sided (weakly closed)
ideals of a von Neumann algebra (regarded as a non-commutative ring)… yet too huge, we …

… that a ring R is called von Neumann regular or just regular for short if… If \(b\in U(R)\), the ring
is said to be unit-regular (see, for … a quite large class of rings. However, all Abelian exchange …

… As a corollary, we have that a commutative ring R is von Neumann regular if and only if R is
… (4) We know that a ring R is von Neumann regular if and only if every right (left) R-module flat…