Results 11 to 20 of about 113 (32)

Boolean Differential Operators [PDF]

, 2014
We consider four combinatorial interpretations for the algebra of Boolean differential operators.
Catumba, Jorge, Diaz, Rafael
core   +2 more sources

Unital hyperarchimedean vector lattices [PDF]

, 2013
We prove that the category of unital hyperarchimedean vector lattices is equivalent to the category of Boolean algebras. The key result needed to establish the equivalence is that, via the Yosida representation, such a vector lattice is naturally ...
Ball, Richard N., Marra, Vincenzo
core   +2 more sources

Spectra of Tukey types of ultrafilters on Boolean algebras [PDF]

, 2015
Extending recent investigations on the structure of Tukey types of ultrafilters on $\mathcal{P}(\omega)$ to Boolean algebras in general, we classify the spectra of Tukey types of ultrafilters for several classes of Boolean algebras, including interval ...
Brown, Jennifer A., Dobrinen, Natasha
core   +3 more sources

Tail and free poset algebras. [PDF]

, 2004
We characterize free poset algebras F(P) over partially ordered sets and show that they can be represented by upper semi-lattice algebras. Hence, the uniqueness, in decomposition into normal form, using symmetric difference, of non-zero elements of F(P ...
Bekkali, Mohamed, Zhani, Driss
core   +2 more sources

New Representations of Matroids and Generalizations [PDF]

, 2011
We extend the notion of matroid representations by matrices over fields and consider new representations of matroids by matrices over finite semirings, more precisely over the boolean and the superboolean semirings.
Izhakian, Zur, Rhodes, John
core   +3 more sources

Congruences and ideals on Boolean modules: a heterogeneous point of view [PDF]

, 2010
Definitions for heterogeneous congruences and heterogeneous ideals on a Boolean module M are given and the respective lattices CongM and IdeM are presented.
Oliveira-Martins, M. Teresa, Pinto, Sandra Marques   +1 more
core   +1 more source

Dualities for modal algebras from the point of view of triples [PDF]

, 2015
In this paper we show how the theory of monads can be used to deduce in a uniform manner several duality theorems involving categories of relations on one side and categories of algebras with homomorphisms preserving only some operations on the other ...
A. Petrovich, A. Stralka, B. Jónsson, B. Jónsson, C. Kupke, D. Hofmann, D. Pumplün, D. Pumplün, Dirk Hofmann, F.B. Wright, G. Sambin, H. Poppe, H. Simmons, H.A. Priestley, H.A. Priestley, J. Lawson, J.W. Negrepontis, L. Vietoris, M.H. Stone, M.M. Bonsangue, P.R. Halmos, Pedro Nora, R. Cignoli, S. Celani, W. Tholen   +24 more
core   +1 more source

Monadic dynamic algebras [PDF]

, 2006
The main purpose of this work is to introduce the class of the monadic dynamic algebras (dynamic algebras with one quantifier). Similarly to a theorem of Kozen we establish that every separable monadic dynamic algebra is isomorphic to a monadic (possibly
Oliveira-Martins, M. Teresa, Pinto, M. Céu, Pinto, S. Marques   +2 more
core   +1 more source

Depth of Boolean algebras

, 2008
We prove a Theorem about the relationship between the Depth of the ultraproduct of Boolean algebras, divided by an ultrafilter, and the products of the depths of each component.
Garti, Shimon, Shelah, Saharon
core   +1 more source

Measures on Boolean algebras

, 2017
We present a necessary and sufficient condition for a Boolean algebra to carry a finitely additive ...
Jech, Thomas
core   +1 more source