Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Algebras of finitary relations
View through CrossRef
Algebras of finitary relations naturally generalize the algebra of binary relations with the left composition. In this paper, we consider some properties of such algebras. It is well known that we can study the hypergraphs as finitary relations. In this way the results can be applied to graph and hypergraph theory, automatons and artificial intelligence.
Title: Algebras of finitary relations
Description:
Algebras of finitary relations naturally generalize the algebra of binary relations with the left composition.
In this paper, we consider some properties of such algebras.
It is well known that we can study the hypergraphs as finitary relations.
In this way the results can be applied to graph and hypergraph theory, automatons and artificial intelligence.
Related Results
Differential graded vertex Lie algebras
Differential graded vertex Lie algebras
This is the continuation of the study of differential graded (dg) vertex algebras defined in our previous paper [Caradot et al., “Differential graded vertex operator algebras and t...
Finitely Presented Heyting Algebras
Finitely Presented Heyting Algebras
In this paper we study the structure of finitely presented Heyting<br />algebras. Using algebraic techniques (as opposed to techniques from proof-theory) we show that every s...
Finitary approximations of coarse structures
Finitary approximations of coarse structures
A coarse structure $ \mathcal{E}$ on a set $X$ is called finitary if, for each entourage $E\in \mathcal{E}$, there exists a natural number $n$ such that $ E[x]< n $ for each $x\...
Weak pseudo-BCK algebras
Weak pseudo-BCK algebras
Abstract
In this paper we define and study the weak pseudo-BCK algebras as generalizations of weak BCK-algebras, extending some results given by Cı⃖rulis for weak BC...
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
The purpose of this paper is to study the $\mathcal{O}$-operators on Malcev algebras and discuss the solutions of Malcev Yang-Baxter equation by $\mathcal{O}$-operators. Furthe...
Some Results on Quasi MV-Algebras and Perfect Quasi MV-Algebras
Some Results on Quasi MV-Algebras and Perfect Quasi MV-Algebras
Abstract
Quasi MV-algebras are a generalization of MV-algebras and they are motivated by the investigation of the structure of quantum logical gates. In the first part, w...
On t-derivations of PMS-algebras
On t-derivations of PMS-algebras
Background PMS algebras are a type of algebraic structure that has been studied extensively in recent years. They are a generalization of several other algebraic structures, such a...
WITHDRAWN: Roughness in L-algebras
WITHDRAWN: Roughness in L-algebras
Abstract
The aim of this paper is to introduce rough approximation on L−algebras. We investigate the relationship between subalgebras, ideals and rough subalgebras,...