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Degree of matrix relation algebras
Authors:M. El Bachraoui  M. Van de Vel
Affiliation:(1) Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands, e-mail: mebachr@cs.vu.nl, NL;(2) Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands, e-mail: marcel@cs.vu.nl, NL
Abstract:We show that a relation algebra and its n-matrix relation algebra have the same degree for all positive integers n. An intermediate result relates the degree of a relation algebra to the degree of a relativization with respect to equivalence elements. Received July 18, 2001; accepted in final form April 24, 2002.
Keywords:2000 Mathematics Subject Classification: 03G15.? and phrases: Degree   matrix relation algebra   relativization   semi-associative relation algebra.
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