Mathematical Sciences: Problems in Universal Algebra
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Three important properties of universal algebras will be                studied:  the amalgamation property, deductiveness, and                         congruence modular varieties.                                                           The research on the amalgamation property centers on two                problems.                                                                       1.  Determination if the amalgamation property plus residual                    smallness implies the congruence extension property.                            2.  Characterization of the amalgamation bases of the variety.                          The plans for deductiveness are less specific.  The general             issue is to attempt to classify those varieties that are                        deductive.                                                                              A third avenue to be pursued is the representation problem              for the commutator in congruence modular varieties.                                     All of these topics concern the foundations of algebra and              are likely to be applied outside of algebra only to the extent                  that they condition a mode of thought about algebraic questions.
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{'Code': '1268', 'Text': 'FOUNDATIONS'}
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