Abstract.
The idea of an algebra in \( \cal S \cal E \cal L \cal F \) is introduced. Within congruence modular varieties such algebras are shown to be the abelian algebras with a one-element subalgebra. This leads on to the notion of algebraic coalition, which is characterized for congruence modular varieties and for varieties of Jónsson–Tarski algebras. This characterization displays an intimate relationship between algebraic coalitions, Gumm difference terms, and the centre of an algebra.
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Received July 16, 1996; accepted in final form May 2, 1997.
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Ensor, A. Algebraic coalitions. Algebra univers. 38, 1–14 (1997). https://doi.org/10.1007/s000120050035
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DOI: https://doi.org/10.1007/s000120050035