10 citations · 123 across the 78 of their papers we have counts for
80 papers
Semilattices with a congruence
Paolo Lipparini
A specialization semilattice is a semilattice together with a coarser preorder satisfying a compatibility condition. We show that the category of specialization semilattices is iso…
Series of combinatorial games
Paolo Lipparini
We present a definition for the sum of a sequence of combinatorial games. This sum coincides with the classical sum in the case of a converging sequence of real numbers and with th…
A short way to directed Jónsson terms
Paolo Lipparini
We show that a variety with Jónsson terms has directed Jónsson terms , for the same value of the indices, solving a problem raised by Kaz…
Ivanova contact join-semilattices are not finitely axiomatizable
Paolo Lipparini
We show that the class of Contact join-semilattices, as introduced by T. Ivanova, is not finitely axiomatizable. On the other hand, a simple finite axiomatization exists for the cl…
Best values for the distributivity spectrum
Paolo Lipparini
We provide optimal bounds for in -distributive varieties, as well as some further partial generalizations.
Hypercontact semilattices
Paolo Lipparini
Contact Boolean algebras are one of the main algebraic tools in region-based theory of space. T. Ivanova provided strong motivations for the study of merely semilattices with a con…