Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 48, No. 1, pp. 115-130 (2007)

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A notion of functional completeness for first order structures II: Quasiprimality

Etienne R. Alomo Temgoua and Marcel Tonga

Department of Mathematics, Ecole Normale Supérieure, University of Yaounde 1, P. O. Box 47 Yaounde, Cameroon, e-mail: retemgoua@yahoo.fr Department of Mathematics, Faculty of Science, University of Yaounde 1, P. O. Box 812 Yaounde, Cameroon, e-mail: tongamarcel@yahoo.fr

Abstract: Quasi-varieties of first-order strutures were studied by N. Weaver [7] to generalize varieties of algebras; he also established some Malcev like conditions for these classes of structures. Following this line we extend some results of functional completeness of algebras to first-order structures. Specifically, we formulate and characterize a notion of quasiprimality for first-order structures.

Keywords: quasiprimality, first-order structure, $\star$-congruences

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Electronic version published on: 14 May 2007. This page was last modified: 27 Jan 2010.

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