Abstract.
In his landmark paper on amalgamation published in Algebra Universalis in 1971, Don Pigozzi posed some open questions in connection with amalgamation of subclasses of cylindric algebras. Some of these questions were originally raised by Comer, Daigneault, Johnson, McKenzie and others. In this paper we give answers to all these as well as a number of other related questions. Most of the solutions were found by the authors of this paper. However, a few were contributed by others who will of course be given due credit at the appropriate points.
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This paper is dedicated to Don Pigozzi on his retirement.
The first author’s research was supported by the Hungarian National Foundation for Scientific Research grants no T30314 and T23234. The second author’s research was supported by the Hungarian National Foundation for Scientific Reserach OKTA grant no T30314. All the new results in this article were announced by Judit Madarász in the Workshop on Abstract Algebraic Logic, held in Centre de Recerca Matematica Bellaterra, Spain July 1–5, 1997.
Received December 15, 2002; accepted in final form January 3, 2006.
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Madárasz, J., Sayed-Ahmed, T. Amalgamation, interpolation and epimorphisms in algebraic logic. Algebra univers. 56, 179–210 (2007). https://doi.org/10.1007/s00012-007-1987-3
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DOI: https://doi.org/10.1007/s00012-007-1987-3