3 papers
math.RA2023
Representation of partially ordered sets over Von Neumann regular algebras. More prime, non-primitive regular rings
Giuseppe Baccella
For every partially ordered sets I, having a finite cofinal subset, and every field K we build a unital, locally matricial and hence unit-regular K-algebra B(I) such that the latti…
math.RA2016
of semiartinian von Neumann regular rings. Direct finiteness versus unit-regularity
Giuseppe Baccella, Leonardo Spinosa
If is a regular and semiartinian ring, it is proved that the following conditions are equivalent: (1) is unit-regular, (2) every factor ring of is directly finite, (3)…
math.RA2009
Representation of artinian partially ordered sets over semiartinian Von Neumann regular algebras
Giuseppe Baccella
If is a semiartinian Von Neumann regular ring, then the set $\Prim_{R}$ of primitive ideals of , ordered by inclusion, is an artinian poset in which all maximal chains have…