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Communications in Algebra Volume 37, 2009 - Issue 2
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Original Articles

Three-Dimensional ℓ-Algebras

Boris Lavrič Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, SloveniaCorrespondence[email protected]
&
Marjan Jerman Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia
Pages 684-711 | Received 14 Aug 2007, Published online: 09 Feb 2009
 
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Abstract

The family of all three-dimensional almost f-algebras, d-algebras, and f-algebras is constructed. It is shown that it contains all three-dimensional directly indecomposable ℓ-algebras. Also, a list of representatives of (algebraic) isomorphism classes of all three-dimensional algebras that can be ordered as an almost f-algebra, a d-algebra, or an f-algebra is given.

2000 Mathematics Subject Classification:

Notes

Communicated by A. Prestel.

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