DEPENDENCE IN ALGEBRAS

Article type: Research Article

Authors: Gécseg, F. | Jürgensen, H.

Affiliations: Department of Informatics, Attila József University, Aradi vértanúk tere 1, H-6720 Szeged, Hungary | Department of Computer Science, The University of Western Ontario, London, Ontario, Canada, N6A 5B7

Abstract: The notions of independence and dimension as introduced by Cohn for universal algebras are quite significantly different from the standard ones. This paper compares some of these notions. In particular, necessary and sufficient conditions for spanning and generating to coincide are derived. Moreover, the paper exhibits a new class of algebras which have bases and well-defined dimensions. This class extends that of v*-algebras and is incomparable with the class of v**-algebras.

DOI: 10.3233/FI-1996-253403

Journal: Fundamenta Informaticae, vol. 25, no. 3-4, pp. 247-256, 1996