Results 61 to 70 of about 203 (97)

Finite pseudocomplemented lattices and ‘permutoedre’

open access: yesDiscrete Mathematics, 1993
The authors summarize, without proof, their results on the structure of finite meet pseudocomplemented, meet and join pseudocomplemented, and pseudocomplemented and complemented lattices. Some sample results are as follows. A finite lattice is a meet pseudocomplemented lattice if and only if each atom has a meet pseudocomplement, and a finite meet ...
C. Chameni Nembua, Bernard Monjardet
exaly   +3 more sources

$$\sigma $$ σ -Ideals in distributive pseudocomplemented residuated lattices [PDF]

open access: yesSoft Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sérgio A Celani, Celani Sérgio A
exaly   +5 more sources

Free-decomposability in Varieties of Pseudocomplemented Residuated Lattices [PDF]

open access: yesStudia Logica, 2011
A pseudocomplemented residuated lattice is a bounded residuated lattice \(\mathbf A=\langle A, \ast, \rightarrow,\vee, \wedge, \mathbf 0, \mathbf 1\rangle\) satisfying the equation: \(x \wedge \neg x= \mathbf 0\), where \(\neg x:=x \rightarrow \mathbf 0\), for all \(x \in A\).
Castaño, Diego Nicolás   +2 more
exaly   +5 more sources

The Structure of Pseudocomplemented Distributive Lattices. I: Subdirect Decomposition [PDF]

open access: yesTransactions of the American Mathematical Society, 1971
In this paper all subdirectly irreducible pseudocomplemented distributive lattices are found. This result is used to establish a Stone-like representation theorem conjectured by G. Grätzer and to find all equational subclasses of the class of pseudocomplemented distributive lattices.
H Lakser
exaly   +3 more sources

The Structure of Pseudocomplemented Distributive Lattices. II: Congruence Extension and Amalgamation [PDF]

open access: yesTransactions of the American Mathematical Society, 1971
This paper continues the examination of the structure of pseudocomplemented distributive lattices. First, the Congruence Extension Property is proved. This is then applied to examine properties of the equational classes
G Gratzer, H Lakser
exaly   +4 more sources

Algebras Describing Pseudocomplemented, Relatively Pseudocomplemented and Sectionally Pseudocomplemented Posets

open access: yesSymmetry, 2021
In order to be able to use methods of universal algebra for investigating posets, we assigned to every pseudocomplemented poset, to every relatively pseudocomplemented poset and to every sectionally pseudocomplemented poset, a certain algebra (based on a
Ivan Chajda   +2 more
exaly   +2 more sources

Pseudocomplemented Semilattices, Boolean Algebras, and Compatible Products

open access: yesJournal of Algebra, 2001
Pseudocomplemented semilattices are studied here from an algebraic point of view, stressing the pivotal role played by the pseudocomplements and the relationship between pseudocomplemented semilattices and Boolean algebras.
Antonio Fernández Lopez
exaly   +2 more sources
Some of the next articles are maybe not open access.

Characterizations of pseudocomplemented lattices by excluded 0-sublattices

Algebra Universalis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue-Ping Wang, Wang Xue-Ping
exaly   +2 more sources

Home - About - Disclaimer - Privacy