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GMV-algebras and meet-semilattices with sectionally antitone permutations. (English) Zbl 1141.06002
SAP-semilattices are structures of the form $$(S,\wedge ,\circ ,(f_a)_{a\in S})$$, where $$(S,\wedge , \circ )$$ is a meet-semilattice and every $$f_a$$ is an antiautomorphism of the order ideal $$(a]$$. This paper investigates the connections between SAP-semilattices and generalized MV-algebras (= pseudo MV-algebras).

##### MSC:
 06A12 Semilattices 06D35 MV-algebras 03G25 Other algebras related to logic
##### Keywords:
semilattice; antitone permutation; GMV-algebra
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##### References:
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