### Clone compatible identities and clone extensions of algebras

Jerzy Płonka (1997)

Mathematica Slovaca

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Jerzy Płonka (1997)

Mathematica Slovaca

Similarity:

Libor Polák (1977)

Archivum Mathematicum

Similarity:

Reiterman, Jan

Similarity:

Börner, Ferdinand (1996)

Beiträge zur Algebra und Geometrie

Similarity:

Ramalho, Margarita (1993)

Portugaliae mathematica

Similarity:

Bjarni Jónsson (1979)

Colloquium Mathematicae

Similarity:

Busaman, S., Denecke, K. (2006)

International Journal of Mathematics and Mathematical Sciences

Similarity:

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,...