Linear identities in graph algebras

Agata Pilitowska

Displaying similar documents to “Linear identities in graph algebras”

Hyperidentities in associative graph algebras

Tiang Poomsa-ard (2000)

Discussiones Mathematicae - General Algebra and Applications

Similarity:

Graph algebras establish a connection between directed graphs without multiple edges and special universal algebras of type (2,0). We say that a graph G satisfies an identity s ≈ t if the correspondinggraph algebra A(G) satisfies s ≈ t. A graph G is called associative if the corresponding graph algebra A(G) satisfies the equation (xy)z ≈ x(yz). An identity s ≈ t of terms s and t of any type τ is called a hyperidentity of an algebra A̲ if whenever the operation symbols occurring in s...

Commutator algebras arising from splicing operations

Sergei Sverchkov (2014)

Open Mathematics

Similarity:

We prove that the variety of Lie algebras arising from splicing operation coincides with the variety CM of centreby-metabelian Lie algebras. Using these Lie algebras we find the minimal dimension algebras generated the variety CM and the variety of its associative envelope algebras. We study the splicing n-ary operation. We show that all n-ary (n > 2) commutator algebras arising from this operation are nilpotent of index 3. We investigate the generalization of the splicing n-ary operation,...

QBCC-algebras inherited from qosets

Radomír Halaš, Jiří Ort (2003)

Mathematica Slovaca

Similarity:

On reductive and distributive algebras

Anna B. Romanowska (1999)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

The paper investigates idempotent, reductive, and distributive groupoids, and more generally $Ω$ -algebras of any type including the structure of such groupoids as reducts. In particular, any such algebra can be built up from algebras with a left zero groupoid operation. It is also shown that any two varieties of left $k$ -step reductive $Ω$ -algebras, and of right $n$ -step reductive $Ω$ -algebras, are independent for any positive integers $k$ and $n$ . This gives a structural description of algebras in...