Partitions and congruences in algebras. II. Modular and distributive equalities, complements
Partitions and congruences in algebras. III. Commutativity of congruences
Partitions and congruences in algebras. IV. Associable systems
Partitions and partially ordered sets
Partitions of -branching trees and the reaping number of Boolean algebras
The reaping number of a Boolean algebra is defined as the minimum size of a subset such that for each -partition of unity, some member of meets less than elements of . We show that for each , as conjectured by Dow, Steprāns and Watson. The proof relies on a partition theorem for finite trees; namely that every -branching tree whose maximal nodes are coloured with colours contains an -branching subtree using at most colours if and only if .
Peculiar behavior of connected locales
Perfect compactifications of frames
Perfect compactifications of frames are introduced. It is shown that the Stone-Čech compactification is an example of such a compactification. We also introduce rim-compact frames and for such frames we define its Freudenthal compactification, another example of a perfect compactification. The remainder of a rim-compact frame in its Freudenthal compactification is shown to be zero-dimensional. It is shown that with the assumption of the Boolean Ultrafilter Theorem the Freudenthal compactification...
Perfect elements in Dubreil-Jacotin regular semigroups.
Perfect Elements in the Free Modular Lattices.
Perfect semilattices.
Periodic extensive measurement
Permutability, Distributivity of Equivalence Relations and Direct Products
Permutability of congruences in varieties with idempotent operations
Permutability of distributive congruence relations in a joint semilattice directed below
Physical states on quantum logics. I
Planar graphs as minimal resolutions of trivariate monomial ideals.
Planar ordered sets of width two
Plus grand groupe image homomorphe et isotone d'un monoïde ordonné : caractérisations des anneaux «clos»
Pointless uniformities. I. Complete regularity
Pointless uniformities. II: (Dia)metrization