Results 31 to 40 of about 203 (97)
Modal Pseudocomplemented De Morgan Algebras [PDF]
, 2014 summary:Modal pseudocomplemented De Morgan algebras (or $mpM$-algebras for short) are investigated in this paper. This new equational class of algebras was introduced by A. V. Figallo and P. Landini ([Figallo, A.
Figallo, Aldo V. +2 more
core +1 more source
Pseudocomplemented distributive lattices with small endomorphism monoids [PDF]
Bulletin of the Australian Mathematical Society, 1983 By a result of K.B. Lee, the lattice of varieties of pseudo-complemented distributive lattices is the ω + 1 chainwhere B−1, B0, B1 are the varieties formed by all trivial, Boolean, and Stone algebras, respectively. General theorems on relative universality proved in the present paper imply that there is a proper class of non-isomorphic algebras in B3 ...
Adams, M. E., Koubek, V., Sichler, J.
openaire +1 more source
Pseudocomplemented ordered sets [PDF]
, 1993 summary:The aim of this paper is to transfer the concept of pseudocomplement from lattices to ordered sets and to prove some basic results holding for pseudocomplemented ordered ...
Halaš, Radomír, Radomir Halas
core
Pseudocomplemented algebras with Boolean congruence lattices [PDF]
Journal of the Australian Mathematical Society, 1978 AbstractComplemented congruences in the classes of pseudocomplemented semilattices, p-algebras and double p-algebras are described. The descriptions are applied to give intrinsic characterizations of those algebras in the aforementioned classes whose congruence lattice is a Boolean algebra.
openaire +2 more sources
, 2015 The article continues the formalization of the lattice theory (as structures with two binary operations, not in terms of ordering relations). In the paper, the notion of a pseudocomplement in a lattice is formally introduced in Mizar, and based on this ...
Grabowski, Adam
core +1 more source
Properties and special filters of pseudocomplemented posets
Investigating the structure of pseudocomplemented lattices started ninety years ago with papers by V. Glivenko, G. Birkhoff and O. Frink and this structure was essentially developed by G. Gratzer.
Länger, Helmut, Chajda, Ivan; orcid:
core +1 more source
Pseudocomplementation in (normal) subgroup lattices [PDF]
, 2010 The goal of this article is to study finite groups admitting a pseudocomplemented subgroup lattice (PK-groups) or a pseudocomplemented normal subgroup lattice (PKN-groups).
De Medts, Tom +3 more
core +1 more source
Characterizations of 0-distributive posets [PDF]
, 2005 summary:The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive.
Joshi, Vinayak V., Waphare, B. N.
core +1 more source
Filters and ideals in pseudocomplemented posets
We study ideals and filters of posets and of pseudocomplemented posets and show a version of the Separation Theorem, known for ideals and filters in lattices and semilattices, within this general setting.
Länger, Helmut, Chajda, Ivan; orcid:
core +1 more source
Les treillis pseudocomple´mente´s finis
, 1992 LetL be a lattice with a least element denotedo; g(t) ∈ L is a meet pseudocomplement oft ∈ Lifx Λ t = o is equivalent tox ≤ g(t); L is meet pseudocomplemented if every element ofL has a meet pseudocomplement.
Chameni-Nambua, C., Monjardet, B.
core +1 more source