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Some properties of the weak subalgebra lattice of a partial algebra of a fixed type

Konrad Pióro (2002)

Archivum Mathematicum

We investigate, using results from [[p3]], when a given lattice is isomorphic to the weak subalgebra lattice of a partial algebra of a fixed type. First, we reduce this problem to the question when hyperedges of a hypergraph can be directed to a form of directed hypergraph of a fixed type. Secondly, we show that it is enough to consider some special hypergraphs. Finally, translating these results onto the lattice language, we obtain necessary conditions for our algebraic problem, and also, we completely...

Strong regular varieties of partial algebras I

K. Denecke (1991)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Structures Algebraiques munis, avec des lois de composition generalisees - Generalisations du produit scalaire

Leonidas Konguetsof (1996)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Subalgebra extensions of partial monounary algebras

Danica Jakubíková-Studenovská (2006)

Czechoslovak Mathematical Journal

For a subalgebra $ℬ$ of a partial monounary algebra $𝒜$ we define the quotient partial monounary algebra $𝒜 / ℬ$ . Let $ℬ$ , $𝒞$ be partial monounary algebras. In this paper we give a construction of all partial monounary algebras $𝒜$ such that $ℬ$ is a subalgebra of $𝒜$ and $𝒞 ≅ 𝒜 / ℬ$ .

Displaying 1 – 4 of 4

Some properties of the weak subalgebra lattice of a partial algebra of a fixed type

Strong regular varieties of partial algebras I

Structures Algebraiques munis, avec des lois de composition generalisees - Generalisations du produit scalaire

Subalgebra extensions of partial monounary algebras

Currently displaying 1 – 4 of 4