MATHEMATICA BOHEMICA, Vol. 130, No. 1, pp. 89-100, 2005

Constructions of cell algebras

Alfonz Haviar, Gabriela Monoszova

Alfonz Haviar, Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, 974 01 Banska Bystrica, Slovakia, e-mail: haviar@fpv.umb.sk; Gabriela Monoszova, Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, 974 01 Banska Bystrica, Slovakia, e-mail: monosz@fpv.umb.sk

Abstract: A construction of cell algebras is introduced and some of their properties are investigated. A particular case of this construction for lattices of nets is considered.

Keywords: Plonka sum, cell algebra, prelattice

Classification (MSC 2000): 08A05, 06F99

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