Ideal lattices of locally matricial algebras

Year, pages: 2005, 123 - 134

We give another proof of Růžička's result that every infinite algebraic distributive lattice whose compact elements form a lattice is isomorphic to the lattice of all two-sided ideals of some locally matricial algebra. Our construction is more elementary and explicit.

Ploščica, M. 2005. Ideal lattices of locally matricial algebras. In Tatra Mountains Mathematical Publications, vol. 30, no.1, pp. 123-134. 1210-3195.

Ploščica, M. (2005). Ideal lattices of locally matricial algebras. Tatra Mountains Mathematical Publications, 30(1), 123-134. 1210-3195.