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Embedding sums of cancellative modes into functorial sums

Romanowska A. B., Stronkowski M., Zamojska-Dzienio A.

Demonstratio Mathematica

2011

Vol. 44, nr 3

557-569

The paper discusses a representation of modes (idempotent and entropic algebras)as subalgebras of so called functorial sums of cancellative algebras.We show that each mode that has a homomorphism onto an algebra satisfying a certain additional condition,with corresponding cancellative congruence classes,embeds into a functorial sum of cancellative algebras.We also discuss typical applications of this result.