Words and Dominions

Mathematics – Rings and Algebras

Scientific paper

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Plain TeX, 15 pp. (Universal Algebra)

Scientific paper

A necessary and sufficient condition for an element of an algebra (in the
sense of Universal Algebra) to be in the dominion of a subalgebra is given, in
terms of transferable sets. This criterion is then used to formulate a more
wieldy sufficient condition. Finally, some connections to a purely
combinatorial setting are outlined.

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