Geodesic
A weak form of interpolation in equational logic
Algebra i logika, Tome 47 (2008) no. 1, pp. 94-107

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The notions of a weak interpolation property and of weak amalgamation are introduced. It is proved that in varieties with the congruence extension property, the weak interpolation property is equivalent to the weak amalgamation property. In turn, weak amalgamability of a variety is equivalent to amalgamability of a class of finitely generated simple algebras in this variety.
Keywords: weak interpolation property, weak amalgamation, variety with congruence extension property. 
@article{AL_2008_47_1_a5,
     author = {L. L. Maksimova},
     title = {A weak form of interpolation in equational logic},
     journal = {Algebra i logika},
     pages = {94--107},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2008_47_1_a5/}
}
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L. L. Maksimova. A weak form of interpolation in equational logic. Algebra i logika, Tome 47 (2008) no. 1, pp. 94-107. http://geodesic.mathdoc.fr/item/AL_2008_47_1_a5/