On determination of a cyclic order
Displaying 521 – 540 of 995
On direct and subdirect product decompositions of partially ordered sets
Ján Jakubík (2002)
Mathematica Slovaca
On direct product decompositions of directed sets
Ján Jakubík (1988)
Mathematica Slovaca
On distances and metrics in discrete ordered sets
Stephan Foldes, Sándor Radelecki (2021)
Mathematica Bohemica
Discrete partially ordered sets can be turned into distance spaces in several ways. The distance functions may or may not satisfy the triangle inequality and restrictions of the distance to finite chains may or may not coincide with the natural, difference-of-height distance measured in a chain. It is shown that for semilattices the semimodularity ensures the good behaviour of the distances considered. The Jordan-Dedekind chain condition, which is weaker than semimodularity, is equivalent to the...
On distributive trices
Kiyomitsu Horiuchi, Andreja Tepavčević (2001)
Discussiones Mathematicae - General Algebra and Applications
A triple-semilattice is an algebra with three binary operations, which is a semilattice in respect of each of them. A trice is a triple-semilattice, satisfying so called roundabout absorption laws. In this paper we investigate distributive trices. We prove that the only subdirectly irreducible distributive trices are the trivial one and a two element one. We also discuss finitely generated free distributive trices and prove that a free distributive trice with two generators has 18 elements.
On extended cyclic orders
Ján Jakubík (1994)
Czechoslovak Mathematical Journal
On extensions of cyclic orders
Ivan Chajda, Vítězslav Novák (1985)
Časopis pro pěstování matematiky
On fixed edges of antitone self-mappings of complete lattices.
Dacić, Rade M. (1983)
Publications de l'Institut Mathématique. Nouvelle Série
On fixed points of maximalizing mappings in posets.
Heikkilä, S. (2010)
Fixed Point Theory and Applications [electronic only]
On generalized derivations of partially ordered sets
Ahmed Y. Abdelwanis, Abdelkarim Boua (2019)
Communications in Mathematics
Let be a poset and be a derivation on . In this research, the notion of generalized -derivation on partially ordered sets is presented and studied. Several characterization theorems on generalized -derivations are introduced. The properties of the fixed points based on the generalized -derivations are examined. The properties of ideals and operations related with generalized -derivations are studied.
On generating of relations
Jan Pelant, Vojtěch Rödl (1973)
Commentationes Mathematicae Universitatis Carolinae
On ideals in De Morgan residuated lattices
Liviu-Constantin Holdon (2018)
Kybernetika
In this paper, we introduce a new class of residuated lattices called De Morgan residuated lattices, we show that the variety of De Morgan residuated lattices includes important subvarieties of residuated lattices such as Boolean algebras, MV-algebras, BL-algebras, Stonean residuated lattices, MTL-algebras and involution residuated lattices. We investigate specific properties of ideals in De Morgan residuated lattices, we state the prime ideal theorem and the pseudo-complementedness of the ideal...
On incidence algebras and directed graphs.
Joseph, Ancykutty (2002)
International Journal of Mathematics and Mathematical Sciences
On infinitely distributive ordered sets
Josef Niederle (2005)
Mathematica Slovaca
On interval decomposition lattices
Stephan Foldes, Sándor Radeleczki (2004)
Discussiones Mathematicae - General Algebra and Applications
Intervals in binary or n-ary relations or other discrete structures generalize the concept of interval in an ordered set. They are defined abstractly as closed sets of a closure system on a set V, satisfying certain axioms. Decompositions are partitions of V whose blocks are intervals, and they form an algebraic semimodular lattice. Lattice-theoretical properties of decompositions are explored, and connections with particular types of intervals are established.
On isotone and homomorphic mappings
František Fiala, Vítězslav Novák (1966)
Archivum Mathematicum
On JP-semilattices of Begum and Noor
Jānis Cīrulis (2013)
Mathematica Bohemica
In recent papers, S. N. Begum and A. S. A. Noor have studied join partial semilattices (JP-semilattices) defined as meet semilattices with an additional partial operation (join) satisfying certain axioms. We show why their axiom system is too weak to be a satisfactory basis for the authors' constructions and proofs, and suggest an additional axiom for these algebras. We also briefly compare axioms of JP-semilattices with those of nearlattices, another kind of meet semilattices with a partial join...
On k-radicals of Green's relations in semirings with a semilattice additive reduct
Tapas Kumar Mondal, Anjan Kumar Bhuniya (2013)
Discussiones Mathematicae - General Algebra and Applications
We introduce the k-radicals of Green's relations in semirings with a semilattice additive reduct, introduce the notion of left k-regular (right k-regular) semirings and characterize these semirings by k-radicals of Green's relations. We also characterize the semirings which are distributive lattices of left k-simple subsemirings by k-radicals of Green's relations.
On lattices embeddable into subsemigroup lattices. III: Nilpotent semigroups.
Semenova, M.V. (2007)
Sibirskij Matematicheskij Zhurnal
On limits in complete semirings.
G. Karner (1992)
Semigroup forum