6 papers · 1 filter
Torsion theories for finite von Neumann algebras
Lia Vas
The study of modules over a finite von Neumann algebra can be advanced by the use of torsion theories. In this work, some torsion theories for are pre…
A simplification of Morita's construction of total right rings of quotients for a class of rings
Lia Vas
The total right ring of quotients sometimes also called the maximal flat epimorphic right ring of quotients or right flat epimorphic hull, is usually obtai…
Class of Baer *-rings Defined by a Relaxed Set of Axioms
Lia Vas
We consider a class of Baer *-rings (also treated in [S. K. Berberian, Baer *-rings, Die Grundlehren der mathematischen Wissenschaften 195, Springer-Verlag, Berlin-H…
Dimension and Torsion Theories for a Class of Baer *-Rings
Lia Vas
Many known results on finite von Neumann algebras are generalized, by purely algebraic proofs, to a certain class of finite Baer *-rings. The results in this paper c…
Differentiability of torsion theories
Lia Vas
We prove that every perfect torsion theory for a ring is differential (in the sense of [P. E. Bland, Differential torsion theory, Journal of Pure and Applied Algebra 204 (2006)…
Semisimplicity and global dimension of a finite von Neumann algebra
Lia Vas
We prove that a finite von Neumann algebra is semisimple if the algebra of affiliated operators of is semisimple. When i…