Kalmbach measurability in D-lattices

. Kalmbach and Michael D . Mauk response Multiple sites of extinction for a single learned

Measurability in modules

In this paper we prove that in modules, MS-measurability (in the sense of Macpherson-Steinhorn) depends on being able to define a measure function on the p.p. definable subgroups. We give a classification of abelian groups in terms of measurability. Finally we discuss the relation with Q[t]-valued measures.

Balanced D-lattices Are Complemented *

We characterize d-lattices as those bounded lattices in which every maximal filter/ideal is prime, and we show that a d-lattice is complemented iff it is balanced iff all prime filters/ideals are maximal.

d-independence and d-bases in vector lattices

This article contains the results of two types. In Section 3 we give a complete characterization of band preserving projection operators on Dedekind complete vector lattices. These operators were instrumental in our work [AK2], and now we have obtained their description. This is done in Theorem 3.4. Let us mention also Theorem 3.2 that contains a description of such operators on arbitrary later...

Rounding Face Lattices in D Dimensions